In this paper the development of efficient computational method for Helmholtz equation is presented. Here we solve the Helmholtz equation in the frequency domain, applying hierarchical finite element approximation with generalized Duffy transformation based on unstructured meshes, where both pressure field and geometry are independently approximated with arbitrary and heterogeneous polynomial order. We demonstrate the implementation and performance of the numerical approach by benchmark problems, especially under pollution effects, which also validate the accuracy and efficiency of an object oriented a priori error estimator through numerical assessments
We are concerned with a convergence analysis of an adaptive Interior Penalty Discontinuous Galerkin ...
International audienceWe propose a novel a posteriori error estimator for conforming finite element ...
International audienceWe propose a novel a posteriori error estimator for conforming finite element ...
This paper introduces a new goal-oriented adap- tive technique based on a simple and effective post-...
The standard approach for goal oriented error estimation and adaptivity uses an error representation...
Computational modeling remains key to the acoustic design of various applications, but it is constra...
This paper is dedicated to the control of accuracy and to the adaptivity of the finite element simul...
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-010-0557-2This p...
The standard approach for goal oriented error estimation and adaptivity uses an error representation...
In this work, we demonstrate the application of PHT-splines for time-harmonic acoustic problems, mod...
© 2019 Elsevier Ltd In this work, we demonstrate the application of PHT-splines for time-harmonic ac...
peer reviewedIn this work, we demonstrate the application of PHT-splines for time-harmonic acoustic ...
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-010-0557-2This p...
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-010-0557-2This p...
We propose a novel a posteriori error estimator for conforming finite element discretizations of two...
We are concerned with a convergence analysis of an adaptive Interior Penalty Discontinuous Galerkin ...
International audienceWe propose a novel a posteriori error estimator for conforming finite element ...
International audienceWe propose a novel a posteriori error estimator for conforming finite element ...
This paper introduces a new goal-oriented adap- tive technique based on a simple and effective post-...
The standard approach for goal oriented error estimation and adaptivity uses an error representation...
Computational modeling remains key to the acoustic design of various applications, but it is constra...
This paper is dedicated to the control of accuracy and to the adaptivity of the finite element simul...
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-010-0557-2This p...
The standard approach for goal oriented error estimation and adaptivity uses an error representation...
In this work, we demonstrate the application of PHT-splines for time-harmonic acoustic problems, mod...
© 2019 Elsevier Ltd In this work, we demonstrate the application of PHT-splines for time-harmonic ac...
peer reviewedIn this work, we demonstrate the application of PHT-splines for time-harmonic acoustic ...
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-010-0557-2This p...
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-010-0557-2This p...
We propose a novel a posteriori error estimator for conforming finite element discretizations of two...
We are concerned with a convergence analysis of an adaptive Interior Penalty Discontinuous Galerkin ...
International audienceWe propose a novel a posteriori error estimator for conforming finite element ...
International audienceWe propose a novel a posteriori error estimator for conforming finite element ...