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7 papers · 1 filter
Derivative-free discrete gradient methods
Håkon Noren Myhr, Sølve Eidnes
Discrete gradient methods are a class of numerical integrators producing solutions with exact preservation of first integrals of ordinary differential equations. In this paper, we…
Isogeometric Analysis of Acoustic Scattering with Perfectly Matched Layers (IGAPML)
Jon Vegard Venås, Trond Kvamsdal
The perfectly matched layer (PML) formulation is a prominent way of handling radiation problems in unbounded domain and has gained interest due to its simple implementation in fini…
Efficient Reordered Nonlinear Gauss-Seidel Solvers With Higher Order For Black-Oil Models
Øystein S. Klemetsdal, Atgeirr F. Rasmussen, Olav Møyner +1
The fully implicit method is the most commonly used approach to solve black-oil problems in reservoir simulation. The method requires repeated linearization of large nonlinear syst…
Accelerating Multiscale Simulation of Complex Geomodels by Use of Dynamically Adapted Basis Functions
Øystein Strengehagen Klemetsdal, Olav Møyner, Knut-Andreas Lie
A number of different multiscale methods have been developed as a robust alternative to upscaling and as a means for accelerated reservoir simulation of high-resolution geomodels.…
A multimesh finite element method for the Navier-Stokes equations based on projection methods
Jørgen S. Dokken, August Johansson, André Massing +1
The multimesh finite element method is a technique for solving partial differential equations on multiple non-matching meshes by enforcing interface conditions using Nitsche's meth…
Enhanced multiscale restriction-smoothed basis (MsRSB) preconditioning with applications to porous media flow and geomechanics
Sebastian B. M. Bosma, Sergey Klevtsov, Olav Møyner +1
A novel method to enable application of the Multiscale Restricted Smoothed Basis (MsRSB) method to non M-matrices is presented. The original MsRSB method is enhanced with a filteri…