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- J. Zitelli, Ignacio Muga, Leszek F. Demkowicz, Jayadeep Gopalakrishnan, David Pardo, Victor M. Calo
- J. Comput. Physics
- 2011

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 highfrequency range. This paper presents a new method with no phase errors for one-dimensional (1D) time-harmonic wave propagation problems using new ideas that hold promise for… (More)

- Jayadeep Gopalakrishnan, Ignacio Muga, Nicole Olivares
- SIAM J. Scientific Computing
- 2014

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 results are obtained, under some circumstances, when the method is… (More)

- Mario Durán, Ignacio Muga, Jean-Claude Nédélec
- SIAM Journal of Applied Mathematics
- 2011

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)

- Ignacio Muga, David Pardo, Pawel Jerzy Matuszyk, Carlos Torres-Verdín
- Computers & Mathematics with Applications
- 2015

- Vincent Darrigrand, David Pardo, Ignacio Muga
- Computers & Mathematics with Applications
- 2015

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)

- Mario Durán, Ignacio Muga
- 2009

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)

- David Pardo, Pawel Jerzy Matuszyk, Ignacio Muga, Carlos Torres-Verdín, Angel Mora, Victor M. Calo
- J. Comput. Physics
- 2011

Article history: Received 14 January 2011 Received in revised form 18 April 2011 Accepted 20 April 2011 Available online xxxx

- J. Zitelli, Ignacio Muga, Maggi Calo
- 2010

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 onedimensional time-harmonic wave propagation problems. The method is constructed within the… (More)

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