Left: Solution of a 2D Laplace boundary value problem with a normal derivative equal to the vector (1,2) at the cross-shaped boundary. Using the BEM, only the cross-shaped boundary needs to discretized.
Middle: Some isosurfaces of the solution of a 3D Laplace boundary value problem with a normal derivative equal to the vector (1,2,3) at the "bow-tie" shaped boundary.
Right: Plane-wave scattering by a multi-screen in 3D.
Gallery of numerical simulations
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Hypersingular integral equations on Multiscreens
Time-harmonic wave scattering by a trapping obstacle
Left: Magnitude |u| of the solution u to a sound-hard plane-wave scattering problem with perfectly matched layer (PML) truncation.
Right: Magnitude |u-uh| of the error in the approximation of u by the FEM. The error is concentrated in the cavity.
Simulations with FreeFem++
Right: Magnitude |u-uh| of the error in the approximation of u by the FEM. The error is concentrated in the cavity.
Simulations with FreeFem++
Wave propagation in a fractured medium
Left: Fractured mesh, i.e., conforming triangular mesh of the complement of a fracture in 2D.
Right: Finite Element in space/Finite-difference in time numerical solution of a wave problem with Neumann conditions on the fracture and the outer boundary.
Right: Finite Element in space/Finite-difference in time numerical solution of a wave problem with Neumann conditions on the fracture and the outer boundary.
