Efficient spectral-Galerkin method and analysis for elliptic PDEs with non-local boundary conditions
DOI10.1007/s10915-015-0145-xzbMath1375.65159OpenAlexW2263526062MaRDI QIDQ2399184
Publication date: 22 August 2017
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-015-0145-x
error analysisnumerical experimentLegendre polynomialscattering problemnon-local boundary conditionsspectral-Galerkin method
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Direct numerical methods for linear systems and matrix inversion (65F05)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Arbitrary high-order \(C^0\) tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity
- Two-level fourth-order explicit schemes for diffusion equations subject to boundary integral specifications
- Alternating direction method for the Poisson equation with variable weight coefficients in an integral condition
- Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions
- On efficient numerical methods for an initial-boundary value problem with nonlocal boundary conditions
- Analysis of the electromagnetic scattering from a cavity.
- Difference method of increased order of accuracy for the Poisson equation with nonlocal conditions
- Finite difference methods for a nonlocal boundary value problem for the heat equation
- Efficient techniques for the second-order parabolic equation subject to nonlocal specifications
- Numerical solution of the heat equation with nonlocal boundary conditions
- Some error estimates on the finite element approximation for two-dimensional elliptic problem with nonlocal boundary
- On the numerical solution of the heat conduction equations subject to nonlocal conditions
- A numerical solution for non-classical parabolic problem based on Chebyshev spectral collocation method
- Numerical approximations for solving a time-dependent partial differential equation with non-classical specification on four boundaries
- Spectral Methods
- Numerical Solution of Parabolic Problems with Nonlocal Boundary Conditions
- Numerical solution of two-dimensional parabolic equation subject to nonstandard boundary specifications using the pseudospectral Legendre method
- A reaction-diffusion system arising in modelling man-environment diseases
- Extensions of a property of the heat equation to linear thermoelasticity and other theories
- The Direct Solution of the Biharmonic Equation on Rectangular Regions and the Poisson Equation on Irregular Regions
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- A Fast Direct Solver for High Frequency Scattering from a Large Cavity in Two Dimensions
- Spectral Methods
- A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity
- Analysis of Transient Electromagnetic Scattering from a Three-Dimensional Open Cavity
- Numerical solutions of reaction-diffusion equations with nonlocal boundary conditions
This page was built for publication: Efficient spectral-Galerkin method and analysis for elliptic PDEs with non-local boundary conditions
