Changes
EM.Ferma
,/* Variety of Physical Objects in EM.Ferma */
[[Image:Splash-static.jpg|right|800px720px]]<strong><font color="#0d10e52603c4" size="4">Electrostatic and , Magnetostatic & Thermal Solvers For DC And Low Frequency Simulations</font></strong>
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<td>[[image:Cube-icon.png | link=Getting_Started_with_EM.Cube]] [[image:cad-ico.png | link=Building_Geometrical_Constructions_in_CubeCAD]] [[image:fdtd-ico.png | link=EM.Tempo]] [[image:prop-ico.png | link=EM.Terrano]] [[image:poplanar-ico.png | link=EM.IlluminaPicasso]] [[image:planarmetal-ico.png | link=EM.PicassoLibera]] [[image:metalpo-ico.png | link=EM.LiberaIllumina]] </td>
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[[Image:Tutorial_icon.png|40px30px]] '''[[EM.Cube#EM.Ferma_Tutorial_Lessons Ferma_Documentation | EM.Ferma Tutorial Gateway]]'''
[[Image:Back_icon.png|40px30px]] '''[[EM.Cube | Back to EM.Cube Main Page]]'''
==Product Overview==
=== EM.Ferma in a Nutshell ===
With EM.Ferma, you can explore the electric fields due to volume charge distributions or fixed-potential perfect conductors, and magnetic fields due to wire or volume current sources and permanent magnets. Your structure may include dielectric or magnetic (permeable) material blocks. Using the thermal simulator, you can solve for the steady-state temperature distribution of structures that include perfect thermal conductors, insulators and volume heat sources. You can also use EM.Ferma's 2D quasi-static mode to compute the characteristic impedance (Z0) and effective permittivity of transmission line structures with complex cross section profiles.
[[Image:Tutorial_iconInfo_icon.png|40px30px]] Click here to access learn more about the '''[[EMElectrostatic & Magnetostatic Field Analysis | Theory of Electrostatic and Magnetostatic Methods]]'''.Cube#EM [[Image:Info_icon.Ferma_Tutorial_Lessons png| EM.Ferma Tutorial Gateway30px]] Click here to learn more about the '''[[Steady-State_Thermal_Analysis | Theory of Steady-State Heat Transfer Methods]]'''. <table><tr><td>[[Image:Magnet lines1.png|thumb|left|400px| Vector plot of magnetic field distribution in a cylindrical permanent magnet.]]</td></tr></table>
=== EM.Ferma as the Static Module of EM.Cube ===
EM.Ferma is the low-frequency '''Static Module''' of '''[[EM.Cube]]''', a comprehensive, integrated, modular electromagnetic modeling environment. EM.Ferma shares the visual interface, 3D parametric CAD modeler, data visualization tools, and many more utilities and features collectively known as [[Building_Geometrical_Constructions_in_CubeCAD | CubeCAD ]] with all of [[EM.Cube]]'s other computational modules.
[[Image:Info_icon.png|40px30px]] Click here to learn more about '''[[Getting_Started_with_EM.Cube | EM.Cube Modeling Environment]]'''.
== EM.Ferma Features at a Glance ==
<ul>
<li>
<li>
Dielectric objects in free space (Electrostatics)</li>
<li>
Magnetic (permeable) objects in free space (Magnetostatics)</li> <li> Perfect thermal conductor (PTC) solids and surfaces (Thermal)</li> <li> Insulator objects (Thermal)</li>
</ul>
<ul>
<li>
Fixed-potential PEC for maintaining equi-potential metal objects(Electrostatics)</li> <li> Volume charge sources (Electrostatics)</li> <li> Volume current sources (Magnetostatics)</li>
<li>
<li>
<li>
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</ul>
<li>
Optimization of transmission line's parameters for impedance design</li>
</ul>
=== Steady-State Thermal Simulation ===
<ul>
<li>
Finite difference solution of Laplace and Poisson equations for the temperature with Dirichlet and Neumann domain boundary conditions </li>
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Calculation of temperature and heat flux density</li>
<li>
Calculation of thermal energy density on field sensor planes</li>
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Calculation of thermal flux over user defined flux boxes</li>
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Calculation of thermal energy</li>
</ul>
Electric and magnetic field intensity and vector plots on planes</li>
<li>
Electric and magnetic potential intensity plotson planes</li> <li> Temperature and heat flux intensity and vector plots on planes</li> <li> Electric and magnetic energy density, dissipated power density and thermal energy density plots on planes</li>
<li>
Animation of field and potential plots after parametric sweeps</li>
Custom output parameters defined as mathematical expressions of standard outputs</li>
</ul>
== Building the Physical Structure in EM.Ferma ==
=== Variety of Physical Objects in EM.Ferma ===
The simplest static problems involve a charge source in the free space that produces an electric field, or a current source in the free space that produces a magnetic field. In such cases, the only applicable boundary conditions are defined at the boundary of the computational domain. As soon as you introduce a dielectric object next to a charge source or a magnetic (permeable) material next to a current source, you have to deal with a complex boundary value problem. In other words, you need to solve the electric or magnetic Poisson equation subject to the domain boundary conditions as well as material interface boundary conditions. The simplest thermal problem involves one or more thermal plates held at fixed temperatures. Once you introduce material blocks, you have to enforce conductive and convective boundary conditions at the interface between different materials and air. EM.Ferma uses the Finite Difference (FD) technique to find a numerical solution of your static boundary value problem.
[[EM.Ferma ]] offers six the following types of physical objects:
{| class="wikitable"
|-
! scope="col"| Icon
! scope="col"| Physical Object Type
! scope="col"| Applications
! scope="col"| Notes & Restrictions
|-
| style="width:30px;" | [[File:pec_group_icon.png]]| style="width:200px;" | '''[[Glossary of EM.Cube's Materials , Sources, Devices & Other Physical Object Types#Fixed-Potential PEC |Fixed-Potential Perfect Electric Conductor (PEC)]]'''
| style="width:300px;" | Modeling perfect metals with a fixed voltage
| style="width:100px;" | Solid and surface objects
| style="width:250px;" | Can be considered an electric source if the fixed voltage is nonzero
|-
| style="width:30px;" | [[File:diel_group_icon.png]]| style="width:200px;" | '''[[Glossary of EM.Cube's Materials , Sources, Devices & Other Physical Object Types#Dielectric Material |Dielectric/Magnetic Material]]'''| style="width:300px;" | Modeling any homogeneous or inhomogeneous material
| style="width:100px;" | Solid objects
| style="width:250px;" | non-source material
|-
| style="width:30px;" | [[File:aniso_group_icon.png]]| style="width:200px;" | '''[[Glossary of EM.Cube's Materials , Sources, Devices & Other Physical Object Types#Volume Charge |Volume Charge]]'''
| style="width:300px;" | Modeling volume charge sources with a fixed charge density or an expression in the global coordinates (x,y,z)
| style="width:100px;" | Solid objects
| style="width:250px;" | Acts as an electric source
|-
| style="width:30px;" | [[File:voxel_group_icon.png]]| style="width:200px;" | '''[[Glossary of EM.Cube's Materials , Sources, Devices & Other Physical Object Types#Volume Current |Volume Current]]'''
| style="width:300px;" | Modeling volume current sources with a fixed volume current density vector or expressions in the global coordinates (x,y,z)
| style="width:100px;" | Solid objects
| style="width:250px;" | Acts as a magnetic source
|-
| style="width:30px;" | [[File:pmc_group_icon.png]]| style="width:200px;" | '''[[Glossary of EM.Cube's Materials , Sources, Devices & Other Physical Object Types#Permanent Magnet |Permanent Magnet]]'''
| style="width:300px;" | Modeling permanent magnet sources with a fixed magnetization vector or expressions in the global coordinates (x,y,z)
| style="width:100px;" | Solid objects
| style="width:250px;" | Acts as a magnetic source
|-
| style="width:30px;" | [[File:thin_group_icon.png]]| style="width:200px;" | '''[[Glossary of EM.Cube's Materials , Sources, Devices & Other Physical Object Types#Wire Current |Wire Current]]'''
| style="width:300px;" | Modeling wire current sources
| style="width:100px;" | line Line and polyline objects
| style="width:250px;" | Acts as a magnetic source
|-
| style="width:30px;" | [[File:pec_group_icon.png]]
| style="width:200px;" | [[Glossary of EM.Cube's Materials, Sources, Devices & Other Physical Object Types#Fixed-Temperature PTC |Fixed-Temperature Perfect Thermal Conductor (PTC)]]
| style="width:300px;" | Modeling isothermal surfaces with a fixed temperature
| style="width:100px;" | Solid and surface objects
| style="width:250px;" | Can be considered a thermal source if the fixed temperature is different than the ambient temperature (shares the same navigation tree node as PEC object)
|-
| style="width:30px;" | [[File:diel_group_icon.png]]
| style="width:200px;" | [[Glossary of EM.Cube's Materials, Sources, Devices & Other Physical Object Types#Dielectric Material |Insulator Material]]
| style="width:300px;" | Modeling any homogeneous or inhomogeneous material
| style="width:100px;" | Solid objects
| style="width:250px;" | non-source material (shares the same navigation tree node as dielectric material)
|-
| style="width:30px;" | [[File:aniso_group_icon.png]]
| style="width:200px;" | [[Glossary of EM.Cube's Materials, Sources, Devices & Other Physical Object Types#Volume Heat Source |Volume Heat Source]]
| style="width:300px;" | Modeling volume heat sources with a fixed heat density or an expression in the global coordinates (x,y,z)
| style="width:100px;" | Solid objects
| style="width:250px;" | Acts as a thermal source (shares the same navigation tree node as volume charge)
|-
| style="width:30px;" | [[File:Virt_group_icon.png]]
| style="width:200px;" | [[Glossary of EM.Cube's Materials, Sources, Devices & Other Physical Object Types#Virtual_Object_Group | Virtual Object]]
| style="width:300px;" | Used for representing non-physical items
| style="width:100px;" | All types of objects
| style="width:250px;" | None
|}
Click on each category to learn more details about it in the [[Glossary of EM.Cube's Materials , Sources, Devices & Other Physical Object Types]].
=== Grouping Objects by Material or Source Type ===
Your physical structure in EM.Ferma is typically made up of some kind of source object either in the free space or in the presence of one or more material objects. EM.Ferma's electrostatic and magnetostatic or thermal simulation engines then discretize the entire computational domain including these source and material objects and solve the Laplace or Poisson equations to find the electric or magnetic fields or temperature everywhere in the computational domain.
All the geometric objects in the project workspace are organized together into object groups which share the same properties including color and electric or magnetic parameters. It is recommended that you first create object groups, and then draw new objects under the active group. To create a new object group, right-click on its category name in the "Physical Structure" section of the navigation tree and select one of the "Insert New Group..." items from the contextual menu. However, if you start a new EM.Ferma project from scratch, and start drawing a new object without having previously defined any object groups, a new default "Fixed-Potential PEC" object group with a zero voltage is created and added to the navigation tree to hold your new geometric object.
It is important to note that there is a one-to-one correspondence between electrostatic and thermal simulation entities:
{| class="wikitable"
|-
! scope="col"| Electrostatic Item
! scope="col"| Corresponding Thermal Item
|-
| style="width:200px;" | Electric Scalar Potential
| style="width:200px;" | Temperature
|-
| style="width:200px;" | Electric Field
| style="width:200px;" | Heat Flux Density
|-
| style="width:200px;" | Perfect Electric Conductor
| style="width:200px;" | Perfect Thermal Conductor
|-
| style="width:200px;" | Dielectric Material
| style="width:200px;" | Insulator Material
|-
| style="width:200px;" | Volume Charge
| style="width:200px;" | Volume Heat Source
|}
{{Note|Electrostatic and thermal solvers share the same material categories on the navigation tree. This means that PEC objects are treated as PTC objects, dielectric objects are treated as insulator objects and volume charges are treated as volume heat sources when the thermal solver is enabled.}}
Once a new object group node has been created in the navigation tree, it becomes and remains the "Active" object group, which is always listed in bold letters. When you draw a new geometric object such as a box or a sphere, its name is added under the currently active object group. There is only one object group that is active at any time. Any group can be made active by right-clicking on its name in the navigation tree and selecting the '''Activate''' item of the contextual menu.
[[Image:Info_icon.png|40px30px]] Click here to learn more about '''[[Building Geometrical Constructions in CubeCAD#Transferring Objects Among Different Groups or Modules | Moving Objects among Different Groups]]'''.
<table>
===Domain Boundary Conditions===
*EM.Ferma allows you to specify the electric potential boundary conditions on the domain box. Two options are available. The Dirichlet boundary condition is the default option and is specified as a fixed potential value on the surface of the domain walls. By default, this value is 0 Volts. The Neumann boundary condition specifies the normal derivative of the electric scalar potential on the surface of the domain walls. This is equivalent to the a constant normal electric field component on the domain walls and its value is specified in V/m. *The magnetostatic simulation engine always assumes Dirichlet domain boundary conditions and sets the values of the magnetic vector potential to zero on all the domain walls. *EM.Ferma provides two options for thermal boundary conditions on the domain box. The Dirichlet boundary condition is the default option and is specified as a fixed temperature value on the surface of the domain walls. By default, this value is 0°C. The Neumann boundary condition specifies the normal derivative of the temperature on the surface of the domain walls. This is equivalent to a constant heat flux passing through the domain walls and its value is specified in W/m<sup>2</sup>. A zero heat flux means a perfectly insulated domain box and is known as the adiabatic boundary condition. To modify the boundary conditions, right-click on "Boundary Conditions" in the Navigation Treenavigation tree, and select "Boundary Conditions..." from the contextual menu to open the Boundary Conditions Dialog.When you switch from the electrostatic-magnetostatic solver to the thermal solver in EM.Ferma's Run Simulation dialog, it automatically checks the box labeled '''Treat as a Thermal Structure''' in the Boundary Conditions dialog. Conversely, if you check this box in the Boundary Conditions dialog, the solver type is set to the thermal solver in the Simulation Run dialog. In the "Global Thermal Properties" section of the Boundary Conditions dialog, you can set the values of the ambient temperature in °C, thermal conductivity of the environment in W/(m.K) and the convective coefficient in W/(m<sup>2</sup>.K). You can also disable the enforcement of the convective boundary condition on the surface of solid insulator objects.
<table>
== EM.Ferma's Simulation Data & Observables ==
At the end of an electrostatic simulation, the electric field vector and electric scalar potential values are computed at all the mesh grid points of the entire computational domain. At the end of an magnetostatic simulation, the magnetic field vector and magnetic vector potential values are computed at all the grid nodes. At the end of a thermal simulation, the temperature and heat flux vector are computed at all the mesh grid points of the entire computational domain. Besides the electric and magnetic fieldsand temperature, EM.Ferma can compute a number of field integral quantities such as voltage, current, flux, energy, etc. The field components, potential values and field integrals are written into output data files and can be visualized on the screen or graphed in EM.Grid Data Manager only if you define a field sensor or a field integral observable. In the absence of any observable defined in the navigation tree, the static simulation will be carried out and completed, but no output simulation data will be generated.
EM.Ferma offers the following types of output simulation data:
{| class="wikitable"
|-
! scope="col"| Icon
! scope="col"| Simulation Data Type
! scope="col"| Observable Type
! scope="col"| Applications
|-
| style="width:150px30px;" | '''[[Glossary of EMFile:fieldsensor_icon.Cube's Simulation Observables#Near-Field Sensor png]]| style="width:150px;" |Near-Field Distribution Maps]]'''| style="width:150px;" | '''[[Glossary of EM.Cube's Simulation Observables& Graph Types#Near-Field Sensor Field_Sensor_Observable |Near-Field Sensor]]''' | style="width:450px;" | Computing electric and magnetic field components, electri electric scalar potential and magnitude of magnetic vector potential on a planar cross section of the computational domain
|-
| style="width:30px;" | [[File:fieldsensor_icon.png]]| style="width:150px;" | Electric and Magnetic Energy and Dissipated Power Density Maps | style="width:150px;" | '''[[Glossary of EM.Cube's Simulation Observables& Graph Types#Field Integral Near-Field_Sensor_Observable |Near-Field Integral QuantitiesSensor]] | style="width:450px;" | Computing electric and magnetic energy densities and dissipated power density on a planar cross section of the computational domain |-| style="width:30px;" | [[File:fieldsensor_icon.png]]'''| style="width:150px;" | Temperature and Heat Flux Distribution Maps| style="width:150px;" | [[Glossary of EM.Cube'''s Simulation Observables & Graph Types#Near-Field_Sensor_Observable |Near-Field Sensor]] | style="width:450px;" | Computing temperature and heat flux components on a planar cross section of the computational domain |-| style="width:30px;" | [[File:fieldsensor_icon.png]]| style="width:150px;" | Thermal Energy Density Maps | style="width:150px;" | [[Glossary of EM.Cube's Simulation Observables& Graph Types#Near-Field_Sensor_Observable |Near-Field Sensor]] | style="width:450px;" | Computing thermal energy density on a planar cross section of the computational domain |-| style="width:30px;" | [[File:field_integ_icon.png]]| style="width:150px;" | Field Integral Quantities|style="width:150px;" | [[Glossary of EM.Cube's Simulation Observables & Graph Types#Static_Field_Integral_Observable | Static Field Integral]]''' | style="width:450px;" | Computing line, surface and volume integrals of the electric and magnetic fields and heat flux
|}
Click on each category to learn more details about it in the [[Glossary of EM.Cube's Simulation Observables& Graph Types]]. <table><tr> <td> [[Image:Ferma L1 Fig15.png|thumb|left|640px|Electric field distribution of a spherical charge on a horizontal field sensor plane.]] </td></tr> <tr> <td> [[Image:Ferma L1 Fig16.png|thumb|left|640px|Electric scalar potential distribution of a spherical charge on a horizontal field sensor plane.]] </td></tr></table> The table below list the different types of field integrals and their definitions:
{| class="wikitable"
| <math> P_{ohmic} = \int\int\int_V \sigma \vert \mathbf{E(r)} \vert ^2 dv </math>
| ohmic.DAT
|-
! scope="row"| Capacitance
| <math> C = \Phi_E/V = \int\int_{S_o} \epsilon \mathbf{E(r)} . \mathbf{ds} / \int_C \mathbf{E(r)} . \mathbf{dl} </math>
| capacitance.DAT
|-
! scope="row"| Capacitance (Alternative)
| <math> C = 2W_E/V^2 = 2 \int \int \int_V \epsilon \vert \mathbf{E(r)} \vert ^2 dv / \left( \int_C \mathbf{E(r)} . \mathbf{dl} \right)^2</math>
| capacitance.DAT
|-
! scope="row"| Self-Inductance
| <math> L = \Phi_H/I = \int\int_S \mu \mathbf{H(r)} . \mathbf{ds} / \oint_{C_o} \mathbf{H(r)} . \mathbf{dl} </math>
| inductance.DAT
|-
! scope="row"| Self-Inductance (Alternative)
| <math> L = 2W_M/I^2 = 2 \int \int \int_V \mu \vert \mathbf{H(r)} \vert ^2 dv / \left( \oint_{C_o} \mathbf{H(r)} . \mathbf{dl} \right)^2</math>
| inductance.DAT
|-
! scope="row"| Mutual Inductance
| <math> M = \Phi_H^{\prime}/I = \int\int_{S^{\prime}} \mu \mathbf{H(r)} . \mathbf{ds} / \oint_{C_o} \mathbf{H(r)} . \mathbf{dl} </math>
| inductancemutual_inductance.DAT|-! scope="row"| Resistance| <math> R = V/I_{cond} = - \int_C \mathbf{E(r)} . \mathbf{dl} / \int\int_S \sigma \mathbf{E(r)} . \mathbf{ds} </math>| resistance.DAT|-! scope="row"| Resistance (Alternative 1)| <math> R = V^2/P_{ohmic} = \left( \int_C \mathbf{E(r)} . \mathbf{dl} \right)^2 / \int\int\int_V \sigma \vert \mathbf{E(r)} \vert ^2 dv </math>| resistance.DAT|-! scope="row"| Resistance (Alternative 2)| <math> R = P_{ohmic}/I_{cond}^2 = \int\int\int_V \sigma \vert \mathbf{E(r)} \vert ^2 dv / \left( \int\int_S \sigma \mathbf{E(r)} . \mathbf{ds} \right)^2</math>| resistance.DAT|-! scope="row"| Thermal Flux| <math> \Phi_T = \int\int_{S_o} \mathbf{q(r)} . \mathbf{ds} </math>| flux_T.DAT|-! scope="row"| Thermal Energy| <math> W_T = Q = \int \int \int_V \rho_V c_p \left( T\mathbf{(r)} - T_{env} \right) dv </math>| energy_T.DAT
|}
<table>
{{Note|To obtain accurate results, it is highly recommended to use a square mesh as much as possible.}}
[[Image:Info_icon.png|30px]] Click here to learn more about '''[[Preparing_Physical_Structures_for_Electromagnetic_Simulation#Working_with_EM.Cube.27s_Mesh_Generators | Working with Mesh Generator]]'''.
[[Image:Info_icon.png|30px]] Click here to learn more about the properties of '''[[Glossary_of_EM.Cube%27s_Simulation-Related_Operations#Fixed-Cell_Brick_Mesh | EM.Ferma's Fixed-Cell Brick Mesh Generator]]'''.
<table>
<tr>
<td> [[Image:Qsource2.png|thumb|360px|Geometry of a spherical charge source and the enclosing domain box.]] </td>
<td> [[Image:Qsource3.png|thumb|360px|Fixed-cel mesh of the spherical charge object.]] </td>
</tr>
== Running Static Simulations in EM.Ferma ==
===Two EM.Ferma's Simulation EnginesModes ===
[[EM.Ferma has two independent but functionally similar static ]] currently offers three different simulation enginesmodes as follows: Electrostatic and Magnetostatic. The electrostatic engine solves the electric form of Poisson's equation for electric scalar potential subject to electric field boundary conditions, in the presence of electric sources (volume charges and fixed-potential PEC blocks) and dielectric material media. The magnetostatic engine solves the magnetic form of Poisson's equation for magnetic vector potential subject to magnetic field boundary conditions, in the presence of magnetic sources (wire and volume currents and permanent magnetic blocks) and magnetic material media.
=== Running an Electrostatic, Magnetostatic or Thermal Analysis === [[EM.Ferma]] has three independent but functionally similar static simulation engines: Electrostatic, Magnetostatic and Thermal. The electrostatic engine solves the electric form of Poisson's equation for electric scalar potential subject to electric field boundary conditions, in the presence of electric sources (volume charges and fixed-potential PEC blocks) and dielectric material media. The magnetostatic engine solves the magnetic form of Poisson's equation for magnetic vector potential subject to magnetic field boundary conditions, in the presence of magnetic sources (wire and volume currents and permanent magnetic blocks) and magnetic material media. The thermal engine solves the thermal form of Poisson's equation for steady-state temperature subject to thermal boundary conditions, in the presence of heat sources (volume sources and fixed-temperature PTC blocks) and insulator material media. To run a static simulation, first you have to open the Run Dialog. This is done by clicking the "Run" button of the Simulate Toolbar, or by selecting the "Run" item of the Simulate Menu, or simply using the keyboard shortcut "Ctrl+R". The only There are two available options for the simulation engine is "Static": '''Electrostatic-Magnetostatic Solver''' and '''Steady-State Thermal Solver'''. Clicking the Run button of this dialog starts a static analysis. A separate window pops up which reports the progress of the current simulation.
<table>
<tr>
<td> [[Image:Ferma L1 Fig11.png|thumb|left|480px600px|EM.Ferma's Simulation Run dialog.]] </td>
</tr>
</table>
===Static Simulation Engine Settings===
EM.Ferma currently uses a single iterative offers two different types of linear system solver for solving the matrix equations that result from discretization of Poisson's equation: an iterative solver based on the stabilized Bi-Conjugate Gradient (BiCG) method to solve the matrix equations which result from the discretization of Poisson's equationand a Gauss-Seidel solver. The default solver type is BiCG. You can specify some numerical parameters related to the Bi-CG BiCG solver. To do that, you need to open the Simulation Engine Settings Dialog by clicking the "Settings" button located next to the "Select Engine" drop-down list. From this dialog you can set the maximum number of BiCG iterations, which has a default value of 10,000. You can also set a value for "Convergence Error". The default value for electrostatic analysis is 0.001. For magnetostatic analysis, the specified value of convergence error is reduced by a factor 1000 automatically. Therefore, the default convergence error in this case is 1e10<sup>-6</sup>.
{{Note|The value of convergence error affect the accuracy of your simulation results. For most practical scenarios, the default values are adequate. You can reduce the convergence error for better accuracy at the expense of longer computation time.}}
</table>
== The 2D Electrostatic Quasi-Static Simulation Mode==
<table>
[[Image:Qsource16.png|thumb|left|480px|A field sensor and 2D solution plane defined for a microstrip line.]]
</td>
</tr>
</table>
</table>
[[Image:Tutorial_icon.png|40px30px]] '''[[EM.Cube#EM.Ferma_Tutorial_Lessons Ferma_Documentation | EM.Ferma Tutorial Gateway]]'''
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