Department of Numerical Mathematics
Charles University in Prague
Sokolovská 49/83, 186 75 Praha 8

Description

The workshop aims to bring together researchers working on different aspects of the discrete exterior calculus (DEC), from discretization of curved domains, through discretization of differential operators and variables, to applications of DEC in electromagnetism, acoustics, fluid flow, and other areas. Moreover, the workshop strives to be a platform for popularization of DEC among students and experts from different yet related areas, such as differential geometry, algebraic topology, and partial differential equations. The purpose of the workshop is to facilitate new collaborative efforts and discussion of the many aspects of DEC between researchers and also students. If you are interested in presenting your research related to the topic, please contact the organizer Lenka Ptackova (lenka at kam.mff.cuni.cz).

Support for students

This workshop will include lightning talks for early career researchers and graduate students. You can also apply for financial support for your travel expenses as a speaker or an attendee. In order to propose a lightning talk or apply for funding, please contact Lenka Ptackova (lenka at kam.mff.cuni.cz).

Schedule - including thematic talks at regular seminars

March 25, room K3 9:00 - 10:00	Modelling Generalized Continua with Homological Algebra Speaker: Kaibo Hu (University of Oxford) video   slides
March 26, room K1 14:00 - 15:00	Finite element form-valued forms Speaker: Kaibo Hu (University of Oxford) video   slides
April 28, room K433
12:30 - 13:00	Coffee/Check-in
13:00 - 14:00	Disrete exterior calculus on general polygonal meshes over non-flat surfaces Speaker: Lenka Ptackova (Charles University) slides
14:00 - 15:00	Phonon propagation in layered periodic structures with discrete exterior calculus Speaker: Mikael Myyrä (University of Jyväskylä) slides
15:00 - 15:30	Coffee break
15:30 - 16:30	Time-harmonic wave propagation with finite element and discrete exterior calculus Speaker: Tytti Saksa (University of Jyväskylä) slides
April 29, room K433
9:00 - 10:00	Sweeping process in discrete and continuous stress-based models of elastoplasticity Speaker: Ivan Gudoshnikov (Czech Academy of Sciences)
10:00 - 11:00	Stable local commuting projectors and global–local equivalences Speaker: Martin Vohralík (Inria Paris) slides
11:00 - 11:30	Coffee break
11:30 - 12:30	Formalizing discrete exterior calculus Speaker: Sampsa Kiiskinen (University of Jyväskylä) slides
April 30, room K1 14:00 - 15:00	Controlled time integration with discrete exterior calculus: applications in electro-magnetism, acoustics and more Speaker: Tytti Saksa (University of Jyväskylä) slides

Recommended literature

Guzmán & Potu: A Framework for Analysis of DEC Approximations to Hodge-Laplacian Problems using Generalized Whitney Forms
Wardetzky et al.: Discrete laplace operators: no free lunch
Demlow & Neilan: A Tangential and Penalty-Free Finite Element Method for the Surface Stokes Problem
Bonito et al.: A Divergence-Conforming Finite Element Method for the Surface Stokes Equation
Demlow: Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces


The workshop is sponsored by