Well identification efforts under the CATALOG consortium: Modeling of electromagnetic diffusion by using the hierarchical finite element analysis
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Beskardes, Gungor Didem↗
Engineering topics
Weiss, Chester Joseph
Publications and source records attributed to Weiss, Chester Joseph.
A Fast Solver for the Fractional Helmholtz Equation
The purpose of this paper is to study a Helmholtz problem with a spectral fractional Laplacian, instead of the standard Laplacian. Recently, it has been established that such a fractional Helmholtz problem better captures the underlying behavior in Geophysical Electromagnetics. In this work, we establish the well-posedness and regularity of this problem. We introduce a hybrid spectral-finite element approach to discretize it and show well-posedness of the discrete system. In addition, we derive a priori discretization error estimates. Finally, we introduce an efficient solver that scales aswell as the best possible solver for the classical integer-order Helmholtz equation. We conclude withseveral illustrative examples that confirm our theoretical findings.
97 MATHEMATICS AND COMPUTING↗
Real-time Subsurface Event Assessment and Detection (RESEAD).
Abstract not provided.
Weiss, Chester Joseph↗