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Showing 1 to 3 of 3 for “"high-order finite element method"”.
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Fast finite element methods for focused ultrasound applications
… of a three-dimensional, time-domain, fast finite element solver for focused ultrasound (FUS) applications. FUS is a rapidly evolving medical technology used for tissue heating, ablation, and neuromodulation. In recent years, interest in FUS has grown significantly, especially for the …
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GPU-accelerated Linear Solvers for High-order Finite Element Methods in Poisson Problems
Solving large-scale linear systems arising from high-order finite element discretizations for Poisson equations often represents the most expensive component of the high-order finite element solver. This dissertation develops and analyzes numerical methods and algorithms aimed at improving the …
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Analysis of hybrid discontinuous Galerkin methods for incompressible flow problems
… work, we consider the derivation and analysis of finite element methods for the approximate solution of the Navier-Stokes equations, which describe the motion of liquid and gaseous substances. We investigate the stability and approximation properties of primal hybrid discontinuous Galerkin …