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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)
The Piezoelectric Surface Acoustic Wave devices (so called SAW Components) are currently used today for frequency filtering, their main applications being to digital telecommunication systems. The need to improve their designs requires the development of accurate mathematical models to predict their physical performance. We develop here one of the essential(More)
In this work, the error of a given output functional is represented using bilinear forms that are different from those given by the adjoint problem. These representations can be employed to design novel h, p, and hp energy-norm and goal-oriented adaptive algorithms. Numerical results in 1D show that, for wave propagation problems, the advantages of this new(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)
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)
In this work we deduce an explicit Sommerfeld-type radiation condition able to prove uniqueness for the problem of outgoing wave propagation in isotropic elastic half-spaces with free boundary condition. The expression is obtained by a rigorous asymptotic analysis of the Green's function associated with this problem. Observe that this is an exterior problem(More)
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