Zur Dirichletschen Randwertaufgabe des Außenraumes der Schwingungsgleichung

DOI10.1007/BF01119203zbMath0132.33602MaRDI QIDQ2395546

R.Leis

Publication date: 1965

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/170478

zbMATH Keywords

partial differential equations

Related Items

Justification of collocation method for one class of curvilinear integral equations, An iterative method for the boundary element solution of the exterior acoustic problem, On the numerical solution of a hypersingular integral equation in scattering theory, Condition number estimates for combined potential boundary integral operators in acoustic scattering, The limiting behaviour of solutions of the acoustic transmission problems, Quadrature by expansion: a new method for the evaluation of layer potentials, Coupled BEM-FEM for the convected Helmholtz equation with non-uniform flow in a bounded domain, Stability assessment of a unified variational boundary integral method applicable to thin scatterers and scatterers with corners, A fast boundary element method for the two-dimensional Helmholtz equation, A plane-wave singularity subtraction technique for the classical Dirichlet and Neumann combined field integral equations, Method of fundamental solutions for mixed and crack type problems in the classical theory of elasticity, L²‐boundary integral equations for the robin problem, On the exterior boundary-value problem for the time-harmonic Maxwell equations, Unnamed Item, Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect?, Investigation of an approximate solution of the integral equation of the exterior Dirichlet boundary value problem for the Helmholtz equation in the two-dimensional space, Computation of singular and hypersingular boundary integrals by Green identity and application to boundary value problems, Singular localised boundary‐domain integral equations of acoustic scattering by inhomogeneous anisotropic obstacle, On the solution of direct and inverse multiple scattering problems for mixed sound-soft, sound-hard and penetrable objects, The Helmholtz equation in disturbed half-spaces, On the low wave number asymtotics for the two-dimensional exterior dirichlet problem for the reduced wave equation, The influence of the weighting parameter on the improved boundary element solution of the exterior Helmholtz equation, Rapidly convergent quasi-periodic Green functions for scattering by arrays of cylinders—including Wood anomalies, On a Dirichlet–Neumann–Third mixed boundary value problem for the Helmholtz equation, Boundary element simulation of thermal waves, Integral equations for acoustic scattering by partially impenetrable composite objects, On mixed boundary value problems for the Helmholtz equation, Regularized combined field integral equations, Boundary element simulation of thermal waves, On Neumann's method for the exterior Neumann problem for the Helmholtz equation, The low frequency limit of the exterior Dirichlet problem for the reduced wave equation, Modified equations of the first kind for the Helmholtz equation, Zur Abschätzung der Lösung des Dirichletschen Außenraumproblems für die Schwingungsgleichung, Zur Monotonie der Eigenwerte selbstadjungierter elliptischer Differentialgleichungen, Über das Dirichletsche Außenraumproblem für die Schwingungsgleichung, High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis, A numerical method for the exterior Dirichlet problem for the reduced wave equation, Kriterien für das Fehlen quadratisch integrierbarer Lösungen der Differentialgleichung \(-\Delta v = f(x,v)\) in Außengebieten, Coercive combined field integral equations, A Posteriori Error Estimates for the Electric Field Integral Equation on Polyhedra, Ein numerisches Verfahren zur Lösung des Neumannschen Außenraumproblems für die Helmholtzsche Schwingungsgleichung, General transmission problems in the theory of elastic oscillations of anisotropic bodies (basic interface problems), Modified Green's functions and the third boundary value problem for the Helmholtz equation, Removing the irregular frequencies from integral equations in wave-body interactions, Diffraction from arbitrarily shaped bodies of revolution: Analytical regularization, A uniquely solvable integral equation for the neumann problem in linearelasticity, On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation, A boundary integral formulation and a topological energy-based method for an inverse 3D multiple scattering problem with sound-soft, sound-hard, penetrable, and absorbing objects, High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem, Boundary integral equations in time-harmonic acoustic scattering, On an integral equation for the two-dimensional exterior Stokes problem, Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains, On the Continuous Dependence of the Exterior Dirichlet Problem on the Boundary

Cites Work

• Über die Randwertaufgaben des Außenraumes zur Helmholtzschen Schwingungsgleichung
• Zur Eindeutigkeit der Randwertaufgaben der Helmholtzschen Schwingungsgleichung
• Zum Dirichletschen Prinzip für selbstadjungierte elliptische Differentialoperatoren
• Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
• Zur Methode der Strahlungskapazität von H. Weyl
• Kapazität von Strahlungsfeldern
• Unnamed Item
• Unnamed Item