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Which 2D PDE with an exact solution can I use to test/verify my FEM-PDE code?

finite-element pde testing verification

modified yesterday Bill Barth 10.1k

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1

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40

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Are spatial boundary conditions required for PDEs discretized with Method of Lines?

pde boundary-conditions method-of-lines

modified 2 days ago Laurent90 370

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197

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Robin Boundary Condition with Implicit Upwind - Finite Difference Method for 2D Convection-Diffusion Equation

pde sparse-matrix numerics numerical-modelling advection-diffusion

modified Nov 21 at 9:08 Community♦ 1

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57

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What is wrong in the code for this upwind method?

pde python advection

answered Nov 13 at 21:51 helloworld922 321

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57

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Finite Difference for Advection Equation With Source

pde finite-difference convergence stability advection

answered Nov 10 at 12:55 Peter Frolkovič 1,156

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C or fortran library to solve linear 2D/3D elliptic PDE

pde c libraries elliptic-pde

modified Nov 9 at 0:42 Wolfgang Bangerth 44.7k

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In sights into why higher order finite differencing method leads faster to instability

pde finite-difference stability discretization

asked Nov 4 at 15:21 fibonatic 430

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45

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How I can derive the Neuman boundary condition of this system of hyperbolic equations in 1D?

pde matlab finite-difference

answered Oct 30 at 20:17 Bort 1,215

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41

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How can I implement a bvp problem in a non uniform grid?

pde linear-system grid

modified Oct 16 at 23:03 Mr.Podilatis 45

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77

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Numerical integration in time for finite elements

finite-element pde convergence time-integration

modified Oct 12 at 22:46 Steven Roberts 306

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94

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How to apply Dirichlet boundary conditions to time-dependent PDEs?

finite-element pde boundary-conditions

modified Oct 10 at 21:39 Anton Menshov♦ 7,794

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26

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How can I change th code to implement the Fourier series as defined?

pde python fourier

modified Oct 6 at 20:34 Mr.Podilatis 45

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90

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Dirichlet Boundary Condition finite difference method using sparse-matrix $Ax = b$ system

pde finite-difference parallel-computing numerical-modelling

answered Oct 6 at 7:50 Jan 3,296

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4

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How to incorporate the boundary conditions with the Galerkin method?

pde finite-element boundary-conditions

modified Sep 29 at 0:01 Daniel Shapero 6,721

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