-
Article
New iterative methods for solving generalized absolute value equations
In this paper, two new iterative methods for solving generalized absolute value equations (GAVEs) are proposed and investigated using the single-step iteration (SSI) approach. The proposed iterative methods ar...
-
Article
Open AccessSimulation of CO2 Storage Using a Parameterization Method for Essential Trap** Physics: FluidFlower Benchmark Study
An efficient compositional framework is developed for simulation of CO \(_{2}\) ...
-
Chapter and Conference Paper
Matrix-Free Parallel Preconditioned Iterative Solvers for the 2D Helmholtz Equation Discretized with Finite Differences
We present a matrix-free parallel iterative solver for the Helmholtz equation related to applications in seismic problems and study its parallel performance. We apply Krylov subspace methods, GMRES, Bi-CGSTAB ...
-
Article
Asymptotic convergence analysis and influence of initial guesses on composite Anderson acceleration
Although Anderson acceleration AA(m) has been widely used to speed up nonlinear solvers, most authors are simply using and studying the stationary version of Anderson acceleration. The behavior and full potent...
-
Article
Investigating Effects of Heterogeneity and Fracture Distribution on Two-Phase Flow in Fractured Reservoir with adaptive time strategy
Modeling of fluid flow in porous media is a pillar in geoscience applications. Previous studies have revealed that heterogeneity and fracture distribution have considerable influence on fluid flow. In this wor...
-
Article
Open AccessCombining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric Analysis
The use of sequential time integration schemes becomes more and more the bottleneck within large-scale computations due to a stagnation of processor’s clock speeds. In this study, we combine the parallel-in-ti...
-
Chapter
The Influence of the Increasing Penetration of Photovoltaic Generation on Integrated Transmission-Distribution Power Systems
Power system simulations should be adapted to be applicable to the trends that are currently evoked by the energy transition. This transition is pushing our power system from a traditional hierarchical system ...
-
Article
Open AccessAccelerating the solution of linear systems appearing in two-phase reservoir simulation by the use of POD-based deflation methods
We explore and develop a Proper Orthogonal Decomposition (POD)-based deflation method for the solution of ill-conditioned linear systems, appearing in simulations of two-phase flow through highly heterogeneous...
-
Article
Open AccessConvergence behavior of single-step GBLUP and SNPBLUP for different termination criteria
The preconditioned conjugate gradient (PCG) method is the current method of choice for iterative solving of genetic evaluations. The relative difference between two successive iterates and the relative residua...
-
Chapter
Expanding the Applicability of the Competitive Modes Conjecture
The Competitive Modes Conjecture is a relatively new approach in the field of Dynamical Systems, aiming to understand chaos in strange attractors using Resonance Theory. Up till now, the Conjecture has only be...
-
Chapter and Conference Paper
Preconditioning for Linear Systems Arising from IgA Discretized Incompressible Navier–Stokes Equations
We deal with efficient techniques for numerical simulation of the incompressible fluid flow based on the Navier–Stokes equations discretized using the isogeometric analysis approach. Typically, the most time-c...
-
Chapter and Conference Paper
Efficient p-Multigrid Based Solvers for Isogeometric Analysis on Multipatch Geometries
Isogeometric Analysis can be considered as the natural extension of the Finite Element Method (FEM) to higher-order spline based discretizations simplifying the treatment of complex geometries with curved boun...
-
Chapter and Conference Paper
An IGA Framework for PDE-Based Planar Parameterization on Convex Multipatch Domains
The first step towards applying isogeometric analysis techniques to solve PDE problems on a given domain consists in generating an analysis-suitable map** operator between parametric and physical domains wit...
-
Article
Open AccessComparison and unification of material-point and optimal transportation meshfree methods
Both the material-point method (MPM) and optimal transportation meshfree (OTM) method have been developed to efficiently solve partial differential equations that are based on the conservation laws from contin...
-
Article
Open AccessA second-level diagonal preconditioner for single-step SNPBLUP
The preconditioned conjugate gradient (PCG) method is an iterative solver of linear equations systems commonly used in animal breeding. However, the PCG method has been shown to encounter convergence issues wh...
-
Article
Open AccessDeflated preconditioned conjugate gradient method for solving single-step BLUP models efficiently
The single-step single nucleotide polymorphism best linear unbiased prediction (ssSNPBLUP) method, such as single-step genomic BLUP (ssGBLUP), simultaneously analyses phenotypic, pedigree, and genomic informat...
-
Article
Open AccessOn the impact of quantum computing technology on future developments in high-performance scientific computing
Quantum computing technologies have become a hot topic in academia and industry receiving much attention and financial support from all sides. Building a quantum computer that can be used practically is in its...
-
Chapter and Conference Paper
Acceleration of Turbomachinery Steady Simulations on GPU
Steady state simulations in Computational Fluid Dynamics (CFD), which rely on implicit time integration, are not experiencing great accelerations on GPUs. Moreover, most of the reported acceleration effort con...
-
Chapter and Conference Paper
Meshless Multi-Point Flux Approximation
The reservoir simulation of the complex reservoirs with anisotropic permeability, which includes faults and non-orthogonal grids, with a fully discontinuous permeability tensor in the discretization is a major...
-
Chapter and Conference Paper
On the Convergence of Inexact Newton Methods
A solid understanding of convergence behaviour is essential to the design and analysis of iterative methods. In this paper we explore the convergence of inexact iterative methods in general, and inexact Newton...
