s. mandayam/ eemag-1/ece dept./rowan university

S. Mandayam/ EEMAG-1/ECE Dept./Rowan University

EngineeringEngineeringElectromagnetics 1Electromagnetics 1

0909.301.010909.301.01 Fall 2004Fall 2004

Shreekanth MandayamECE DepartmentRowan University

http://engineering.rowan.edu/~shreek/fall04/eemag1/lectures/pdetoolbox.ppt

INTODUCTION TO MATLAB PDEINTODUCTION TO MATLAB PDETOOLBOXTOOLBOX

September 22, 2004September 22, 2004


The PDE ToolboxThe PDE Toolbox• The Matlab PDE toolbox provides a user-friendly graphical

interface for solving 2-D partial differential equations offunctions of space and time

• Such equations arise in electromagnetics (electrostatics,magnetostatics, quasi-statics), thermal diffusion, structuralanalysis, etc.

• The GUI allows the user to draw 2-D cross-sections ofobjects, specify sources and boundary conditions andcompute the variables (electromagnetic fields,temperatures, stresses, etc.).

• A numerical technique called the Finite Element Method(will not be discussed here) is used to solve the pdes.


An Example fromAn Example fromElectrostaticsElectrostatics

• The following slides show an example application using theMatlab PDE toolbox.

• Problem statement:

02

=! V

V=10 V=0Laplace’s Equation

No Surface Charge

No Surface Charge


Step 1Step 1• Start the toolbox by typing in

>> pdetoolat the Matlab prompt


Step 2Step 2 Select Electrostatics ApplicationSelect Electrostatics Application


Step 3Step 3 The Draw MenuThe Draw Menu


Step 4Step 4 Create RectangleCreate Rectangle


Step 5Step 5 The Boundary MenuThe Boundary Menu


Step 6Step 6 Display OptionsDisplay Options


Step 7Step 7 Select Boundary 4Select Boundary 4


Step 8Step 8 Specify Boundary ConditionSpecify Boundary Condition

Steps 9 - 10 Select Boundary 1 and specifySteps 9 - 10 Select Boundary 1 and specifyconditioncondition


Steps 11 - 14Steps 11 - 14 Specify remaining boundarySpecify remaining boundaryconditionsconditions


Step 15Step 15 The PDE ModeThe PDE Mode


Step 16Step 16 PDE MenuPDE Menu


Step 17Step 17 Specify PDE parametersSpecify PDE parameters


PDE Solution: Voltage CalculatedPDE Solution: Voltage Calculated


Step 18Step 18 The Plot MenuThe Plot Menu


Step 19Step 19 Specify plotting parametersSpecify plotting parameters


Solution: Electric Field Lines and PotentialSolution: Electric Field Lines and PotentialContoursContours

s. mandayam/ eemag-1/ece dept./rowan university

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