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Showing 1 to 3 of 3 for “"Global relation"”.
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Boundary Value Problems for the Laplace Equation on Convex Domains with Analytic Boundary
… smooth boundary. Central to our analysis is a relation, known as the global relation, that couples the boundary data for a given BVP. Previously, the global re lation has primarily been applied to elliptic PDEs defined on polygonal domains. In this thesis we extend the use of the global relation …
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Initial and boundary value problems in two and three dimensions
… values. However, the new method also yields a relation, known as "the global relation", which couples the unknown boundary values and the given boundary conditions. By manipulating the global relation and the integral representation, it is possible to eliminate the unknown boundary values and …
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Generalized integral transforms related to the theory of potential and stokes flow
The main concern of this Dissertation is focused on the derivation of novel integral formulation for simple problems. This alternative integral representations display a rapid decay as the complex parameter involved tends to infinity and are therefore suitable for numerical computations and for the …