Solution of biharmonic equations with application to radar imaging

DOI10.1016/S0377-0427(98)00079-XzbMath0933.65128OpenAlexW1964603532MaRDI QIDQ1298799

Tommy Elfving, Lars-Erik Andersson, Gene H. Golub

Publication date: 4 April 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00079-x

zbMATH Keywords

inverse problemnumerical experimentsPoisson's equationbiharmonic problemsradar imaging

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (24)

A Cauchy integral formula for inframonogenic functions in Clifford analysis ⋮ Singular integral operator involving higher order Lipschitz classes ⋮ A filter method with a priori and a posteriori parameter choice for the regularization of Cauchy problems for biharmonic equations ⋮ The FFTRR-based fast direct algorithms for complex inhomogeneous biharmonic problems with applications to incompressible flows ⋮ Boundary value problems for the Lamé-Navier system in fractal domains ⋮ A unified solution method for linear elliptic Cauchy problems ⋮ Existence of ground state solutions for weighted biharmonic problem involving non linear exponential growth ⋮ On the Dirichlet-Riquier problem for biharmonic equations ⋮ On a Riemann-Hilbert problem for \(\Psi\)-hyperholomorphic functions in \(\mathbb{R}^m\) ⋮ Existence solutions for a weighted biharmonic equation with critical exponential growth ⋮ An iterative regularizing method for an incomplete boundary data problem for the biharmonic equation ⋮ Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity ⋮ Regularized solution of an ill-posed biharmonic equation ⋮ Decomposition of polyharmonic functions with respect to the complex Dunkl Laplacian ⋮ On the dependence of the reflection operator on boundary conditions for biharmonic functions ⋮ On solvability of some boundary value problem for polyharmonic equation with boundary operator of a fractional order ⋮ Existence results for a class of nonlinear degenerate Navier problems ⋮ On One Mathematical Model Described by Boundary Value Problem for the Biharmonic Equation ⋮ Generalized finite integration method with Volterra operator for multi-dimensional biharmonic equations ⋮ A Cauchy integral formula for infrapolymonogenic functions in Clifford analysis ⋮ Regularized solution of the Cauchy problem for the biharmonic equation ⋮ Biharmonic Green functions on homogeneous trees ⋮ Unnamed Item ⋮ On Solvability of Some Boundary Value Problems with Involution for the Biharmonic Equation

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