Harmonic Functions on Finitely Connected Tori
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Publication:6091102
DOI10.1137/23m1569897zbMath1527.30028arXiv2309.12459MaRDI QIDQ6091102
Chiu-Yen Kao, Braxton Osting, Edouard Oudet
Publication date: 24 November 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2309.12459
Series solutions to PDEs (35C10) Harmonic functions on Riemann surfaces (30F15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)
Cites Work
- The method of fundamental solutions applied to boundary eigenvalue problems
- Fundamental solution of the Laplacian on flat tori and boundary value problems for the planar Poisson equation in rectangles
- Elliptic functions, Green functions and the mean field equations on tori
- The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations
- Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods
- The Generalized Singular Value Decomposition and the Method of Particular Solutions
- Harmonic Functions from a Complex Analysis Viewpoint
- A modular-invariant modified Weierstrass sigma-function as a building block for lowest-Landau-level wavefunctions on the torus
- SERIES SOLUTION OF LAPLACE PROBLEMS
- A Unified Integral Equation Scheme for Doubly Periodic Laplace and Stokes Boundary Value Problems in Two Dimensions
- Computation of free boundary minimal surfaces via extremal Steklov eigenvalue problems
- The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics
- Solving Laplace Problems with Corner Singularities via Rational Functions
- Reviving the Method of Particular Solutions
- Approximations and Bounds for Eigenvalues of Elliptic Operators
- Bounds for Eigenvalues and Eigenvectors of Symmetric Operators
- Complex analysis. Transl. from the German by Dan Fulea
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