Browsing by Contributor "Ruiz-Gironés, Eloi"
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High-order hybridizable discontinuous Galerkin formulation and implicit Runge-Kutta schemes for multiphase flow through porous media (Universitat Politècnica de Catalunya, 2020-07-17)
Open AccessThis dissertation presents high-order hybridisable discontinuous Galerkin (HDG) formulations coupled with implicit Runge-Kutta (RK) methods for the simulation of one-phase flow and two-phase flow problems. High-order-methods ...
Numerical approximation of Poisson problems using high-order continuous Galerkin methods with static condensation (Universitat Politècnica de Catalunya, 2015-10)
Open AccessHigher-order methods in finite elements can provide better approximations than linear methods, in some problems. This is because they can offer an exponential convergence rate of the solution. Thus, in some applications, ...
(Universitat Politècnica de Catalunya, 2017-07)
Open AccessWe show a continuous Galerkin formulation with high-order polynomials to solve the Helmholtz equation. High-order formulations obtain solutions with less numerical error, and can use curved high-order meshes to approximate ...