Question

Solve Poisson problem $ \Delta u(\rho,\phi)=\ln \rho+2\cos^2\phi$ on annulus $1<\rho<3.$

score 20 · Answer 1 · 2023-11-22 18:11:24

20

Views

Solve Poisson problem $ \Delta u(\rho,\phi)=\ln \rho+2\cos^2\phi$ on annulus $1<\rho<3.$

Published on 22 Nov 2023 - 18:11

score 63 · Answer 2 · 2023-11-23 10:57:45

63

Views

How to properly apply 2D Green's function formula to nonhomogenous Poisson equation on unit disc

Published on 23 Nov 2023 - 10:57

score 75 · Answer 3 · 2023-11-30 23:03:57

75

Views

Prove that $u = |\nabla v|^2$ reaches its maximum in $\partial \Omega$, $v$ being a solution to the given Poisson pde

Published on 30 Nov 2023 - 23:03

score 66 · Answer 4 · 2023-12-06 10:25:35

66

Views

Obtain $L^\infty$ estimate of Poisson Equation only using eigenfunction expansion

Published on 06 Dec 2023 - 10:25

score 39 · Answer 5 · 2023-12-07 09:05:38

39

Views

Doubts in lemma 9.12 of Gilbarg Trudinger

Published on 07 Dec 2023 - 9:05

score 116 · Answer 6 · 2023-12-17 02:04:54

116

Views

Evans: Method of Subsolutions and Supersolutions

Published on 17 Dec 2023 - 2:04

score 41 · Answer 7 · 2023-12-31 05:14:56

41

Views

variational formulation of a mixed boundary condition problem and prove the existence of solution

Published on 31 Dec 2023 - 5:14

score 114 · Answer 8 · 2024-01-10 20:46:21

114

Views

Solving Poisson equation with Fourier transform.

Published on 10 Jan 2024 - 20:46

score 26 · Answer 9 · 2026-03-26 03:12:27

26

Views

Construct a manufactured solution of Poisson's equation with Chebyshev/Fourier expansions

Published on 26 Mar 2026 - 3:12

score 70 · Answer 10 · 2024-01-13 09:28:56

70

Views

How to solve 2D Poisson equation for coordinate independent source?

Published on 13 Jan 2024 - 9:28

score 64 · Answer 11 · 2024-01-16 13:30:26

64

Views

Green's function for the screened Poisson equation in an n-dimensional ball

Published on 16 Jan 2024 - 13:30

score 91 · Answer 12 · 2024-02-02 15:05:53

91

Views

The relationship between the norm of the gradient solution of Poisson's equation in different regions

Published on 02 Feb 2024 - 15:05

score 37 · Answer 13 · 2024-02-07 10:15:00

37

Views

The relationship between the norm of the gradient solution of Poisson's equation

Published on 07 Feb 2024 - 10:15

score 15 · Answer 14 · 2024-02-16 15:49:52

15

Views

custom FFT library vs FFTW library produce different results for Poisson Solution Spectral Gradient

Published on 16 Feb 2024 - 15:49

score 75 · Answer 15 · 2024-02-20 00:26:07

75

Views

Application of weak maximum principle.

Published on 20 Feb 2024 - 0:26

List Question

Solve Poisson problem $ \Delta u(\rho,\phi)=\ln \rho+2\cos^2\phi$ on annulus $1<\rho<3.$

How to properly apply 2D Green's function formula to nonhomogenous Poisson equation on unit disc

Prove that $u = |\nabla v|^2$ reaches its maximum in $\partial \Omega$, $v$ being a solution to the given Poisson pde

Obtain $L^\infty$ estimate of Poisson Equation only using eigenfunction expansion

Doubts in lemma 9.12 of Gilbarg Trudinger

Evans: Method of Subsolutions and Supersolutions

variational formulation of a mixed boundary condition problem and prove the existence of solution

Solving Poisson equation with Fourier transform.

Construct a manufactured solution of Poisson's equation with Chebyshev/Fourier expansions

How to solve 2D Poisson equation for coordinate independent source?

Green's function for the screened Poisson equation in an n-dimensional ball

The relationship between the norm of the gradient solution of Poisson's equation in different regions

The relationship between the norm of the gradient solution of Poisson's equation

custom FFT library vs FFTW library produce different results for Poisson Solution Spectral Gradient

Application of weak maximum principle.

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