friedrichs systems
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Author(s):  
Alexandre Ern ◽  
Jean-Luc Guermond
Keyword(s):  

2018 ◽  
Vol 18 (3) ◽  
pp. 521-557 ◽  
Author(s):  
Guillaume Morel ◽  
Christophe Buet ◽  
Bruno Despres

AbstractThis work deals with the first Trefftz Discontinuous Galerkin (TDG) scheme for a model problem of transport with relaxation. The model problem is written as a {P_{N}} or {S_{N}} model, and we study in more details the {P_{1}} model in dimension 1 and 2. We show that the TDG method provides natural well-balanced and asymptotic preserving discretization since exact solutions are used locally in the basis functions. High-order convergence with respect to the mesh size in two dimensions is proved together with the asymptotic property for {P_{1}} model in dimension one. Numerical results in dimensions 1 and 2 illustrate the theoretical properties.


2018 ◽  
Vol 13 (3) ◽  
pp. 703-736 ◽  
Author(s):  
Marko Erceg ◽  
Alessandro Michelangeli

2017 ◽  
Vol 263 (12) ◽  
pp. 8264-8294 ◽  
Author(s):  
N. Antonić ◽  
M. Erceg ◽  
A. Michelangeli

2017 ◽  
Vol 58 (10) ◽  
pp. 101508 ◽  
Author(s):  
Nenad Antonić ◽  
Krešimir Burazin ◽  
Ivana Crnjac ◽  
Marko Erceg
Keyword(s):  

2016 ◽  
Vol 13 (6) ◽  
pp. 3777-3796 ◽  
Author(s):  
Krešimir Burazin ◽  
Marko Erceg
Keyword(s):  

2016 ◽  
Vol 11 (2) ◽  
pp. 223-237 ◽  
Author(s):  
Jean-François Babadjian ◽  
Clément Mifsud ◽  
Nicolas Seguin

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