MWNDEA 2020
Monash Workshop on Numerical Differential Equations
and Applications 2020

Venue Monash University (Melbourne, Australia) Dates 10 – 14 February 2020 Organisers Santiago Badia, Monash University Jérôme Droniou, Monash University Sponsor School of Mathematics, Monash University

The broad theme of this workshop is numerical and computational techniques for differential equations, with talks revolving around design and/or analysis of algorithms, applications of computational techniques to specific models, discussion on current challenges in the field, etc. Topics covered in the workshop include equations with random input, finite element methods, high-order schemes, adaptative methods, non-linear problems, sparse grids, Monte Carlo methods, Bayesian computations, linear solvers, and various applications (fluid-structure interactions, chemistry, biology...), etc.

Booklet and program

The workshop booklet is now online, with the final version of the program.

Registration and submission of titles and abstracts

The registration and submission of talk details closed on the 10 January 2020.

Funding support: available to PhD students, postdoc fellows, and early career researchers with special situations. Fill in this form and send it to santiago.badia@monash.edu and jerome.droniou@monash.edu by 31 December 2019.

Keynote speakers

Lorenzo Botti (University of Bergamo):
Multilevel solution strategies for discontinuous Galerkin methods in continuum mechanics. [abstract]

Victor Calo (Curtin University):
An Adaptive Stabilized Finite Element Method Based on Residual Minimization. [abstract]

Elliot Carr (Queensland University of Technology):
Semi-analytical solutions for transport equations in heterogeneous media. [abstract] [slides]

Lucia Gastaldi (University of Brescia):
A fictitious domain approach for the finite element discretisation of FSI. [abstract] [slides]

Markus Hegland (Australian National University):
Computational plasma physics – extending legacy codes, computing functionals and other ideas. [abstract] [slides]

Christopher Kees (US Army Coastal and Hydraulics Laboratory, Multiphase Flows):
Finite Element Methods for Modeling Multiphase Flow and Fluid-Structure Interaction in Coastal and Hydraulic Engineering Applications. [abstract] [slides]

Kody Law (The University of Manchester):
Multilevel Monte Carlo for Bayesian Inference. [abstract] [slides]

Kent-Andre Mardal (University of Oslo):
Preconditioners for monolitic multi-physics problems – with applications toward the biomechanics of the brain. [abstract] [slides]

Ian Sloan (University of New South Wales):
A Match made in Heaven – periodic random variables and kernels anchored at lattice points. [abstract]

Martin Stynes (Beijing Computational Science Research Center, Applied and Computational Mathematics):
The numerical solution of time-fractional initial-boundary value problems. [abstract] [slides]

Ashley Willis (The University of Sheffield):
Transition in subcritical turbulent shear flows – invariant solutions and optimally growing states on the edge of chaos. [abstract] [slides]

Contributed talks

Santiago Badia (Monash University):
Speeding up the implementation of grid-based PDE approximations in Julia [abstract] [slides]

Pouria Behnoudfar (Curtin University):
High-order generalized-$\alpha$ methods for dynamic phase-field problems [abstract]

Gopikrishnan Chirappurathu Remesan (IITB-Monash Research Academy):
Convergence analysis of a numerical scheme for a tumour growth model [abstract] [slides]

Kengo Deguchi (Monash University):
Inviscid instability of a unidirectional flow sheared in two transverse directions [abstract] [slides]

Jerome Droniou (Monash University):
B-char: an efficient (and feasible!) approach for mass-conserving characteristic schemes in 2D and 3D [abstract] [slides]

Kenneth Duru (Australian National University):
On Energy Stable dG Approximation of the PML for Linear Waves [abstract] [slides]

Farah El Rafei (UNSW Sydney):
The Stochastic Landau-Lifshitz equation [abstract] [slides]

Lishan Fang (Australian National University):
Error indicators and adaptive refinement of finite element thin-plate splines [abstract] [slides]

Alexander Gilbert (Universität Heidelberg):
Multilevel quasi-Monte Carlo methods for random elliptic eigenvalue problems [abstract] [slides]

Yuka Hashimoto (NTT):
Krylov subspace methods for Perron-Frobenius operators in RKHS [abstract] [slides]

Balaje Kalyanaraman (University of Newcastle, Australia):
Applications of bi-orthogonal systems for the virtual element method [abstract]

Amandeep Kaur (Indian Institute of Technology Ropar Rupnagar Punjab India):
A review of finite element method for propagation of surface waves over trench topography [abstract]

Aditya Kaushik (Delhi Technological University, Delhi):
A modified graded mesh and higher order finite element approximation for singular perturbation problems [abstract]

Oliver Krzysik (Monash University):
Parallel time integration of hyperbolic PDEs [abstract]

Naresh Kumar (Indian Institute of Technology Guwahati, Guwahati, India):
A Weak Galerkin Finite Element Method for Elliptic and Parabolic Problems on Polygonal Meshes [abstract] [slides]

Quoc Thong Le Gia (UNSW Sydney):
Stochastic Stokes equations on the unit sphere [abstract]

Dave Lee (Monash University):
Geophysical flow modelling and structure preservation using mixed mimetic spectral elements [abstract] [slides]

Harshita Madduri (Visvesvaraya National Institute of Technology, Maharashtra, India):
A higher order numerical method for time-fractional diffusion equation [abstract]

Subash Chandra Martha (Indian Institute of Technology Ropar):
Numerical method for propagation of surface waves over a rectangular trench in presence of finite dock [abstract]

Alberto F. Martin (Monash University):
Scalability analysis of the distributed-memory implementation of the Aggregated unfitted Finite Element Method (AgFEM) [abstract] [slides]

Sanjib Mondal (The University of Queensland, Australia):
Numerical Modelling of 3-D Fracture Propagation and Damage Evolution in Brittle Materials [abstract] [slides]

Eric Neiva (Universitat Politècnica de Catalunya & Monash University):
An h-adaptive unfitted finite element method for interface elliptic boundary value problems [abstract] [slides]

Andriy Olenko (La Trobe University):
SPDEs on the sphere [abstract] [slides]