A Constructive Introduction to Finite Elements Method
Book summarySummary of the book… Book coverKeywordskeyword1, Contents1.Variational formulations 1.1. A 1D model problem 1.2. A 2D model problem (lapace…
PDEs (numerical)
Finite Element Method and Applications
Book summarySummary of the book… Book cover Contents clickableIntroduction by Acad. Caius Iacob Foreword Functional Analysis Itinerary 1.1. Vector spaces.…
Analysis of aggregation-based multigrid
AbstractAggregation-based multigrid with standard piecewise constant like prolongation is investigated. Unknowns are aggregated either by pairs or by quadruplets; in…
Spectral Methods for Differential Problems
Book summarySummary of the book… Book cover Contents clickableI First Part 1 Chebyshev polynomials 1.1 General properties 1.2 Fourier and…
Spectral collocation solutions to a class of pseudo-parabolic equations
AbstractIn this paper we solve by method of lines (MoL) a class of pseudo-parabolic PDEs defined on the real line.…
Numerical benchmark study for flow in highly heterogeneous aquifers
AbstractThis article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in…
Benchmark for numerical solutions of flow in heterogeneous groundwater formations
AbstractThis article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in…
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: diffusion-dominated regime
AbstractThe numerical approximation of an inverse problem subject to the convection–diffusion equation when diffusion dominates is studied. We derive Carleman…
Unique continuation for the Helmholtz equation using stabilized finite element methods
AbstractIn this work we consider the computational approximation of a unique continuation problem for the Helmholtz equation using a stabilized finite element…
Surface mobility of surfactant solutions. XI Numerical analysis for the Marangoni and the gravity flow in a thin liquid layer of triangular section
AbstractThe numerical calculation method of the “simplex” finite elemente is applied to the Marangoni flow undergone by the surfactant solutions,…