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Let us know how access to this document benefits you. Abstract The phase error, or the pollution effect in the finite element solution of wave propagation problems , is a well known phenomenon that must be confronted when solving problems in the high-frequency range. This paper presents a new method with no phase errors for one-dimensional (1D)(More)
Let us know how access to this document benefits you. Abstract. This paper studies the discontinuous Petrov–Galerkin (DPG) method, where the test space is normed by a modified graph norm. The modification scales one of the terms in the graph norm by an arbitrary positive scaling parameter. The main finding is that as the parameter approaches zero, better(More)
Keywords: Sonic logging Adaptive finite element methods Linear elasto-acoustics Wave propagation Non-orthogonal change of coordinates a b s t r a c t The paper introduces a high-order, adaptive finite-element method for simulation of sonic measurements acquired with borehole-eccentered logging instruments. The resulting frequency domain based algorithm(More)
The phase error, or the pollution effect in the finite element solution of wave propagation problems, is a well known phenomenon that must be confronted when solving problems in the high-frequency range. This paper presents a new method with no phase errors for one-dimensional time-harmonic wave propagation problems. The method is constructed within the(More)
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