Research graph
References from A Brinkman-Penalized Finite Element Method for the Boussinesq Equations with Immersed Rigid Obstacles Under Uncertain Obstacle Motion. Local targets link to admitted publications; unresolved targets remain external evidence.
10.1017/cbo9780511616938
10.1017/cbo9780511616938 · External reference
The Boussinesq approximation for buoyant flows
10.1016/j.mechrescom.2022.103939 · 2022 · External reference
On the use and misuse of the Oberbeck–Boussinesq approximation
10.3390/physics5010022 · 2023 · External reference
10.3934/dcds.2024032
10.3934/dcds.2024032 · External reference
Rigorous derivation of the Oberbeck–Boussinesq approximation revealing unexpected term
10.1007/s00220-023-04823-5 · 2023 · External reference
Application of the fictitious domain method for Navier-Stokes equations
2022 · External reference
Development of parallel implementation for the Navier-Stokes equation in doubly connected areas using the fictitious domain method
2022 · External reference
A penalization method to take into account obstacles in incompressible viscous flows
10.1007/s002110050401 · 1999 · External reference
A volume penalization method for incompressible flows and scalar advection–diffusion with moving obstacles
10.1016/j.jcp.2012.01.036 · 2012 · External reference
A distributed Lagrange multiplier/fictitious domain method for particulate flows
10.1016/s0301-9322(98)00048-2 · 1999 · External reference
A Brinkman penalization method for compressible flows in complex geometries
10.1016/j.jcp.2007.07.037 · 2007 · External reference
Boundary layer for a penalization method for viscous incompressible flow
2003 · External reference
Unresolved reference
External reference
On the incorporation of obstacles in a fluid flow problem using a Navier–Stokes–Brinkman penalization approach
10.1016/j.jocs.2021.101506 · 2022 · External reference
Simulating water-entry/exit problems using Eulerian–Lagrangian and fully-Eulerian fictitious domain methods within the open-source IBAMR library
10.1016/j.apor.2019.101932 · 2020 · External reference
Convergence analysis of a penalization method for the three-dimensional motion of a rigid body in an incompressible viscous fluid
10.1137/090767856 · 2010 · External reference
Waves interacting with a partially immersed obstacle in the Boussinesq regime
10.2140/apde.2021.14.1085 · 2021 · External reference
Shape optimization for an obstacle located in incompressible Boussinesq flow
10.1016/j.compfluid.2022.105431 · 2022 · External reference
Optimal error estimates of a second-order fully decoupled finite element method for the nonstationary generalized Boussinesq model
10.1016/j.cam.2024.116001 · 2024 · External reference
A complete flux scheme for Boussinesq model with applications to convection problems
10.1016/j.euromechflu.2025.204316 · 2025 · External reference
Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems
10.1016/j.compfluid.2019.104399 · 2020 · External reference
Study of an implicit iterative scheme for a numerical solution of stationary heat convection equations based on the idea of “weak compressibility”
10.3934/math.2026456 · 2026 · External reference
10.1007/978-3-030-12203-4_21
10.1007/978-3-030-12203-4_21 · External reference
A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form
10.1016/j.cma.2023.115947 · 2023 · External reference
Parallel CUDA implementation of a numerical algorithm for solving the Navier-Stokes equations using the pressure uniqueness condition
10.1063/5.0041039 · 2021 · External reference
Information technology for numerical simulation of convective flows of a viscous incompressible fluid in curvilinear multiply connected domains
2019 · External reference
High-order collocation methods for differential equations with random inputs
10.1137/040615201 · 2005 · External reference
A sparse grid stochastic collocation method for partial differential equations with random input data
10.1137/060663660 · 2008 · External reference
A stochastic collocation method for the second order wave equation with a discontinuous random speed
10.1007/s00211-012-0493-5 · 2012 · External reference
A stochastic collocation method based on sparse grids for a stochastic Stokes-Darcy model
10.3934/dcdss.2021104 · 2022 · External reference
10.3390/fractalfract8080476
10.3390/fractalfract8080476 · External reference
Unresolved reference
External reference
10.1093/oso/9780198501787.001.0001
10.1093/oso/9780198501787.001.0001 · External reference
10.1007/978-3-030-12203-4_21
10.1007/978-3-030-12203-4_21 · ExternalCitation · doi-reference
A stochastic collocation method for the second order wave equation with a discontinuous random speed
10.1007/s00211-012-0493-5 · ExternalCitation · doi-reference
A penalization method to take into account obstacles in incompressible viscous flows
10.1007/s002110050401 · ExternalCitation · doi-reference
Rigorous derivation of the Oberbeck–Boussinesq approximation revealing unexpected term
10.1007/s00220-023-04823-5 · ExternalCitation · doi-reference
Simulating water-entry/exit problems using Eulerian–Lagrangian and fully-Eulerian fictitious domain methods within the open-source IBAMR library
10.1016/j.apor.2019.101932 · ExternalCitation · doi-reference
Optimal error estimates of a second-order fully decoupled finite element method for the nonstationary generalized Boussinesq model
10.1016/j.cam.2024.116001 · ExternalCitation · doi-reference
A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form
10.1016/j.cma.2023.115947 · ExternalCitation · doi-reference
Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems
10.1016/j.compfluid.2019.104399 · ExternalCitation · doi-reference
Shape optimization for an obstacle located in incompressible Boussinesq flow
10.1016/j.compfluid.2022.105431 · ExternalCitation · doi-reference
A complete flux scheme for Boussinesq model with applications to convection problems
10.1016/j.euromechflu.2025.204316 · ExternalCitation · doi-reference
A Brinkman penalization method for compressible flows in complex geometries
10.1016/j.jcp.2007.07.037 · ExternalCitation · doi-reference
A volume penalization method for incompressible flows and scalar advection–diffusion with moving obstacles
10.1016/j.jcp.2012.01.036 · ExternalCitation · doi-reference
On the incorporation of obstacles in a fluid flow problem using a Navier–Stokes–Brinkman penalization approach
10.1016/j.jocs.2021.101506 · ExternalCitation · doi-reference
The Boussinesq approximation for buoyant flows
10.1016/j.mechrescom.2022.103939 · ExternalCitation · doi-reference
A distributed Lagrange multiplier/fictitious domain method for particulate flows
10.1016/s0301-9322(98)00048-2 · ExternalCitation · doi-reference
10.1017/cbo9780511616938
10.1017/cbo9780511616938 · ExternalCitation · doi-reference
Parallel CUDA implementation of a numerical algorithm for solving the Navier-Stokes equations using the pressure uniqueness condition
10.1063/5.0041039 · ExternalCitation · doi-reference
10.1093/oso/9780198501787.001.0001
10.1093/oso/9780198501787.001.0001 · ExternalCitation · doi-reference
High-order collocation methods for differential equations with random inputs
10.1137/040615201 · ExternalCitation · doi-reference
A sparse grid stochastic collocation method for partial differential equations with random input data
10.1137/060663660 · ExternalCitation · doi-reference
Convergence analysis of a penalization method for the three-dimensional motion of a rigid body in an incompressible viscous fluid
10.1137/090767856 · ExternalCitation · doi-reference
Waves interacting with a partially immersed obstacle in the Boussinesq regime
10.2140/apde.2021.14.1085 · ExternalCitation · doi-reference
10.3390/fractalfract8080476
10.3390/fractalfract8080476 · ExternalCitation · doi-reference
On the use and misuse of the Oberbeck–Boussinesq approximation
10.3390/physics5010022 · ExternalCitation · doi-reference
10.3934/dcds.2024032
10.3934/dcds.2024032 · ExternalCitation · doi-reference
A stochastic collocation method based on sparse grids for a stochastic Stokes-Darcy model
10.3934/dcdss.2021104 · ExternalCitation · doi-reference
Study of an implicit iterative scheme for a numerical solution of stationary heat convection equations based on the idea of “weak compressibility”
10.3934/math.2026456 · ExternalCitation · doi-reference
