Essays about: "Singular integral operator"

Found 2 essays containing the words Singular integral operator.

1. 1. Implementation and study of boundary integral operators related to PDE:s in the plane

   University essay from Lunds universitet/Matematik LTH

   Author : Erik Andersson; [2023]
   Keywords : Boundary integral equation; Singular integral operator; Product integration; Close evaluation; Numerical integration; MATLAB; Mathematics and Statistics;

   Abstract : The method of solving boundary value problems of partial differential equations numerically by first reformulating the problem as a boundary integral equation has many advantages over other methods, but also some unique difficulties. Some of these difficulties stem from problems in evaluating singular or nearly singular integral operators, and solving these difficulties is an active field of research. READ MORE

3. 2. Efficient Quadrature Settings for Elliptic PDE’s using a Coupled FEM and BEM Solver in COMSOL Multiphysics

   University essay from KTH/Numerisk analys, NA

   Author : Gustav Friberg; [2014]
   Keywords : ;

   Abstract : By using singular integral kernels based on the fundamental solution, a partial differential equation (PDE) can be rewritten as a boundary integral defined at the boundary of a domain. This requires a linear differential operator with coefficients that are isotropic and homogeneous in space. READ MORE