Publications and Manuscripts

Preprints (4)

• W.M. Boon, X. Hu, X. Wang. Parameter-robust Preconditioners for the Stokes-Darcy Coupled Problem without Fractional Operators. (2025)
• W.M. Boon. Solvers for mixed finite element problems using Poincaré operators based on spanning trees. (2024)
• W.M. Boon, R. Hiptmair, W. Tonnon, E. Zampa. H(curl)-based approximation of the Stokes problem with slip boundary conditions. (2024)
• W.M. Boon, N.R. Franco, A. Fumagalli, P. Zunino. Deep learning based reduced order modeling of Darcy flow systems with local mass conservation. (2023)

Journal articles (27)

2025

• W.M. Boon, D.F. Holmen, J.M. Nordbotten, J.E. Vatne. The Hodge-Laplacian on the Čech-de Rham complex governs coupled problems. Journal of Mathematical Analysis and Applications, 129692.
• W.M. Boon, N.R. Franco, A. Fumagalli. Neural network solvers for parametrized elasticity problems that conserve linear and angular momentum. Computer Methods in Applied Mechanics and Engineering, 437, 117759.
• W.M. Boon, O. Durán, J.M. Nordbotten. Mixed finite element methods for linear Cosserat equations. SIAM Journal on Numerical Analysis 63(1), 306-333.
• W.M. Boon, E. Nilsson. Nodal auxiliary space preconditioners for mixed virtual element methods. ESAIM: Mathematical Modelling and Numerical Analysis, 59(1), 363-387.

2024

• W.M. Boon, D. Gläser, R. Helmig, K. Weishaupt, I. Yotov. A mortar method for the coupled Stokes-Darcy problem using the MAC scheme for Stokes and mixed finite elements for Darcy. Computational Geosciences 28, 413–430.

2023

• W.M. Boon, A. Fumagalli, A. Scotti. Mixed and multipoint finite element methods for rotation-based poroelasticity. SIAM Journal on Numerical Analysis 61(5), 2485-2508.
• W.M. Boon, F.J. Vermolen. Analysis of Linearized Elasticity Models with Point Sources in Weighted Sobolev Spaces: Applications in Tissue Contraction. ESAIM: Mathematical Modelling and Numerical Analysis 57(4), 2349-2370.
• W.M. Boon, A. Fumagalli. A multipoint vorticity mixed finite element method for incompressible Stokes flow. Applied Mathematics Letters 137, 108498.
• W.M. Boon, D. Gläser, R. Helmig, I. Yotov. Flux-mortar mixed finite element methods with multipoint flux approximation. Computer Methods in Applied Mechanics and Engineering 405, 115870.
• W.M. Boon, A. Fumagalli. A Reduced Basis Method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes. Journal of Scientific Computing 94(3), 64.
• W.M. Boon, J.M. Nordbotten. Mixed-dimensional poromechanical models of fractured porous media. Acta Mechanica 234(3), 1121-1168.

2022

• W.M. Boon, M. Hornkjøl, M. Kuchta, K.-A. Mardal, R. Ruiz-Baier. Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers. Journal of Computational Physics 67, 111464.
• W.M. Boon, T. Koch, M. Kuchta, K.-A. Mardal. Robust monolithic solvers for the Stokes-Darcy problem with the Darcy equation in primal form. SIAM Journal on Scientific Computing 44(4), B1148-B1174.
• W.M. Boon, D. Gläser, R. Helmig, I. Yotov. Flux-Mortar Mixed Finite Element Methods on Non-matching Grids. SIAM Journal on Numerical Analysis 60(3), 1193-1225.

2021

• W.M. Boon, M. Kuchta, K.-A. Mardal, R. Ruiz-Baier. Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot's equations utilizing total pressure. SIAM Journal on Scientific Computing 43(4), B961-B983.
• I. Berre, W.M. Boon, B. Flemisch, A. Fumagalli, D. Gläser, E. Keilegavlen, A. Scotti, I. Stefansson, A. Tatomir, et al. Verification benchmarks for single-phase flow in three-dimensional fractured porous media. Advances in Water Resources 147, 103759.
• W.M. Boon, J.M. Nordbotten. Stable Mixed Finite Elements for Linear Elasticity with Thin Inclusions. Computational Geosciences 25(2), 603-620.
• W.M. Boon, J.M. Nordbotten, J.E. Vatne. Functional Analysis and Exterior Calculus on Mixed-Dimensional Geometries. Annali di Matematica Pura ed Applicata 200(2), 757-789.

2020

• A. Budiša, W.M. Boon, X. Hu. Mixed-Dimensional Auxiliary Space Preconditioners. SIAM Journal on Scientific Computing 42(5), A3367-A3396.
• W.M. Boon. A Parameter-Robust Iterative Method for Coupled Stokes-Darcy Models Retaining Local Mass Conservation. ESAIM: Mathematical Modelling and Numerical Analysis 54(6), 2045-2067.
• M. Schneider, K. Weishaupt, D. Gläser, W.M. Boon, and R. Helmig. Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems. Journal of Computational Physics 401, 109012.

2019

• J.M. Nordbotten, W.M. Boon, A. Fumagalli, E. Keilegavlen. Unified Approach to Discretization of Flow in Fractured Porous Media. Computational Geosciences 23(1), 225-237.

2018

• W.M. Boon, J.M. Nordbotten, I. Yotov. Robust Discretization of Flow in Fractured Porous Media. SIAM Journal on Numerical Analysis 56(4), 2203-2233.
• B. Flemisch, I. Berre, W.M. Boon, A. Fumagalli, N. Schwenck, A. Scotti, I. Stefansson, A. Tatomir. Benchmarks for Single-Phase Flow in Fractured Porous Media. Adv. in Water Resources 111, 239-258.

2017

• N. Balbarini, W.M. Boon, P.L. Bjerg, J.M. Nordbotten, P.J. Binning. A 3-D Numerical Model of the Influence of Meanders on Groundwater Discharge to a Gaining Stream in an Unconfined Sandy Aquifer. Journal of Hydrology 552, 168-181.
• W.M. Boon, N. Balbarini, P.J. Binning, J.M. Nordbotten. Efficient Water Table Evolution Discretization using Domain Transformation. Computational Geosciences 21(1), 3-11.

2016

• W.M. Boon, D.C. Koppenol, F.J. Vermolen. A Multi-Agent Cell-Based Model for Wound Contraction. Journal of Biomechanics 49(8), 1388-1401.

Conference proceedings (4)

2024

• J.M. Nordbotten, W.M. Boon, O. Durán and E. Keilegavlen. Mixed Finite Element and TPSA Finite Volume Methods for Linearized Elasticity and Cosserat Materials. ECMOR 2024, European Association of Geoscientists & Engineers.

2020

• W.M. Boon, J.M. Nordbotten. An Adaptive Penalty Method for Inequality Constrained Minimization Problems. Numerical Mathematics and Advanced Applications ENUMATH 2019 Springer, Cham, 155-164.
• W.M. Boon, J.M. Nordbotten. Convergence of a TPFA Finite Volume Scheme for Mixed-Dimensional Flow Problems. Finite Volumes for Complex Applications IX 435-444.

2019

• J.M. Nordbotten, W.M. Boon. Modeling, Structure and Discretization of Hierarchical Mixed-Dimensional Partial Differential Equations. International Conference on Domain Decomposition Methods 87-101.

Theses

• Doctoral thesis.
  Conforming Discretizations of Mixed-Dimensional Partial Differential Equations
  University of Bergen.
• Master thesis.
  Incorporation of Contracture Formation in Dermal Wound Healing: A Mathematical Model
  Delft University of Technology.