What is he best known for?
The fields of study Knut-Andreas Lie is best known for:
- Algorithm
- Groundwater
- Porosity
His work in Graphics covers topics such as Computer graphics (images) which are related to areas like Computer graphics.
He combines Computer graphics and Computer graphics (images) in his studies.
In his study, Grid is strongly linked to Geodesy, which falls under the umbrella field of Benchmark (surveying).
His Grid study frequently draws connections between adjacent fields such as Geodesy.
He applies the principles of Solver, Process (computing) and MATLAB in his work under Programming language.
His Process (computing) study frequently links to related topics such as Programming language.
In most of his Epistemology studies, his work intersects topics such as Ideal (ethics) and Simple (philosophy).
Simple (philosophy) is frequently linked to Epistemology in his study.
While working in this field, Knut-Andreas Lie studies both Applied mathematics and Mathematical optimization.
His most cited work include:
- A Hierarchical Multiscale Method for Two-Phase Flow Based upon Mixed Finite Elements and Nonuniform Coarse Grids (161 citations)
- A comparison of multiscale methods for elliptic problems in porous media flow (146 citations)
- Multiscale mixed/mimetic methods on corner-point grids (132 citations)
What are the main themes of his work throughout his whole career to date
His study on Geometry is mostly dedicated to connecting different topics, such as Grid, Flow (mathematics) and Basis (linear algebra).
Many of his studies on Basis (linear algebra) apply to Geometry as well.
Mechanics is intertwined with Flow (mathematics) and Finite volume method in his research.
His Finite volume method study often links to related topics such as Mechanics.
His study on Quantum mechanics is mostly dedicated to connecting different topics, such as Scale (ratio) and Nonlinear system.
His Nonlinear system study frequently intersects with other fields, such as Quantum mechanics.
In his articles, he combines various disciplines, including Applied mathematics and Mathematical optimization.
His study deals with a combination of Mathematical optimization and Solver.
His Discretization research extends to the thematically linked field of Mathematical analysis.
Knut-Andreas Lie most often published in these fields:
- Applied mathematics (54.55%)
- Geometry (51.52%)
- Mathematical analysis (45.45%)
What were the highlights of his more recent work (between 2019-2022)?
- Geometry (83.33%)
- Grid (83.33%)
- Geotechnical engineering (66.67%)
In recent works Knut-Andreas Lie was focusing on the following fields of study:
His Iterative method research is covered under the topics of Gauss–Seidel method and Preconditioner.
Knut-Andreas Lie merges Gauss–Seidel method with Iterative method in his study.
Preconditioner is frequently linked to Algorithm in his study.
Algorithm and Discretization are two areas of study in which he engages in interdisciplinary work.
In his papers, he integrates diverse fields, such as Discretization and Nonlinear system.
He merges many fields, such as Nonlinear system and Linearization, in his writings.
His Software study combines Open platform, Open source software and Open source studies.
Knut-Andreas Lie applies the principles of Topology (electrical circuits) and Block (permutation group theory) in his work under Combinatorics.
Topology (electrical circuits) is closely attributed to Combinatorics in his research.
Between 2019 and 2022, his most popular works were:
- The Open Porous Media Flow reservoir simulator (34 citations)
- Dynamic Coarsening and Local Reordered Nonlinear Solvers for Simulating Transport in Porous Media (8 citations)
- A fully implicit WENO scheme on stratigraphic and unstructured polyhedral grids (7 citations)
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