Reprint of: ``Dirichlet-to-Neumann mappings and finite-differences for anisotropic diffusion
DOI10.1016/j.compfluid.2018.03.063zbMath1410.76426OpenAlexW2794921747MaRDI QIDQ720881
Publication date: 18 July 2018
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.compfluid.2018.03.063
\(\mathcal{L}\)-spline interpolationanisotropic diffusion equationDTN) operatormulti-dimensional finite differencesSteklov-Poincaré (Dirichlet-to-Neumann
Diffusion (76R50) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for boundary value problems involving PDEs (65N06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exact solution of Poisson's equation with an elliptical boundary
- Finite-difference schemes for anisotropic diffusion
- Approximate analytic solution of the Dirichlet problems for Laplace's equation in planar domains by a perturbation method
- A tailored finite point method for a singular perturbation problem on an unbounded domain
- Non-positivity of the semigroup generated by the Dirichlet-to-Neumann operator
- Comparison of numerical solvers for anisotropic diffusion equations arising in plasma physics
- The method of difference potentials for the Helmholtz equation using compact high order schemes
- The Dirichlet-to-Neumann operator via hidden compactness
- Natural boundary integral method and related numerical methods
- Error Estimates for Well-Balanced Schemes on Simple Balance Laws
- On spectral approximations in elliptical geometries using Mathieu functions
- A numerical scheme based on mean value solutions for the Helmholtz equation on triangular grids
- Steklov Eigenproblems and the Representation of Solutions of Elliptic Boundary Value Problems
- An Efficient and Accurate Spectral Method for Acoustic Scattering in Elliptic Domains
- Discrete Weighted Mean Approximation of a Model Convection-Diffusion Equation
- Domain Decomposition Using Spectral Expansions of Steklov–Poincaré Operators
- PRECONDITIONERS FOR THE MORTAR METHOD BASED ON LOCAL APPROXIMATIONS OF THE STEKLOV-POINCARÉ OPERATOR
- Computing Qualitatively Correct Approximations of Balance Laws
- Viscous Equations Treated with $$\mathcal{L}$$ -Splines and Steklov-Poincaré Operator in Two Dimensions
This page was built for publication: Reprint of: ``Dirichlet-to-Neumann mappings and finite-differences for anisotropic diffusion