399 citations
- Vietnam Academy of Science and TechnologyVN46 papers
- Viện Vật lýVN28 papers
- Ton Duc Thang UniversityVN16 papers
- University of MalayaMY16 papers
- The University of TokyoJP15 papers
- Wayne State UniversityUS15 papers
- Hanoi Pedagogical University 2VN14 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT14 papers
- Centre National de la Recherche ScientifiqueFR13 papers
- Charles UniversityCZ13 papers
- Brookhaven National LaboratoryUS12 papers
- Deutsches Elektronen-Synchrotron DESYDE12 papers
10 papers · 1 filter
Prediction of numerical homogenization using deep learning for the Richards equation
Sergei Stepanov, Denis Spiridonov, Tina Mai
For the nonlinear Richards equation as an unsaturated flow through heterogeneous media, we build a new coarse-scale approximation algorithm utilizing numerical homogenization. This…
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for multi-continuum Richards equations
Tina Mai, Siu Wun Cheung, Jun Sur Richard Park
In fluid flow simulation, the multi-continuum model is a useful strategy. When the heterogeneity and contrast of coefficients are high, the system becomes multiscale, and some kind…
Multiscale simulations for multi-continuum Richards equations
Jun Sur Richard Park, Siu Wun Cheung, Tina Mai
In this paper, we study a multiscale method for simulating a dual-continuum unsaturated flow problem within complex heterogeneous fractured porous media. Mathematically, each of th…
Balancing domain decomposition by constraints associated with subobjects
Santiago Badia, Alberto F. Martín, Hieu Nguyen
A simple variant of the BDDC preconditioner in which constraints are imposed on a selected set of subobjects (subdomain subedges, subfaces and vertices between pairs of subedges) i…
Theory of functional connections applied to quadratic and nonlinear programming under equality constraints
Tina Mai, Daniele Mortari
This paper introduces an efficient approach to solve quadratic and nonlinear programming problems subject to linear equality constraints via the Theory of Functional Connections. T…
Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity
Shubin Fu, Eric Chung, Tina Mai
In this paper, we apply the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) to first solving a nonlinear poroelasticity problem. The arising…