About: Methods of higher order of accuracy for solution of multi-physics coupled problems

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rdf:type	http://linked.opendata.cz/ontology/domain/vavai/Projekt
rdfs:seeAlso	http://www.isvav.cz/projectDetail.do?rowId=IAA100760702
Description	Nowadays, the computer simulation of large-scale nonlinear and nonstationary coupled problems belongs to the most challenging topics in computational engineering and science. Examples of such problems include electromagnetic treatment of solid and liquid metals, thermoelastic and thermoplastic processes, fluid-structure interaction, and many others. Various physical fields exhibit different typical patterns such as boundary layers or singularities, and thus they need to be approximated on geometrically different meshes. From the mathematical point of view, moreover, various fields belong to different spaces of functions and need to be approximated using different types of finite elements. We propose to develop a novel methodology for monolithic solution for nonlinear coupled problems that takes into account the above-mentioned aspects. Our numerical methods will be based on modern adaptive hierarchic higher-order finite element methods (hp-FEM) with outstanding efficiency and accuracy. (en) Návrh numerických metod pro efektivní počítačovou simulaci rozsáhlých nelineárních a nestacionárních sdruženych problémů patří mezi nejaktuálnější témata ve sféře technických výpočtů. Jako příklady lze uvést zpracování tuhých a tekutých kovů elektromagnetickým polem, problémy termoelasticity a termoplasticity, interakci tekutin s tuhými strukturami a řadu jiných. Obtížnost sdruženych problémů spočívá mimo jiné v tom, že různé složky řešeni vykazují specifické znaky, jako jsou např. mezní vrstva u tekutin či singularity v elektromagnetických polích. Efektivní a přesné řešení proto vyžaduje, aby jeho různé složky byly aproximovány na geometricky různých sítích. Z matematického hlediska navíc různe složky řešeni náleží do ruzných Hilbertových prostorů a jejich aproximace proto vyžaduje obecně různé typy konečných prvků. Pro aproximaci každe složky řešení bude využita moderní adaptivní hp-verze metody konečných prvků (tzv. hp-FEM), která je známá svou výjimečnou (exponenciální) konvergencí
Title	Methods of higher order of accuracy for solution of multi-physics coupled problems (en) Metody vyššího řádu přesnosti pro řešení multifyzikálních sdružených úloh
skos:notation	IAA100760702
http://linked.open...avai/cep/aktivita	Grants of distinctly investigative character focused on the sphere of research pursued at present particularly in the Academy of Sciences of the Czech Republic
http://linked.open...kovaStatniPodpora	http://linked.opendata.cz/resource/domain/vavai/projekt/IAA100760702/celkovaStatniPodpora
http://linked.open...ep/celkoveNaklady	http://linked.opendata.cz/resource/domain/vavai/projekt/IAA100760702/celkoveNaklady
http://linked.open...datumDodatniDoRIV	2013-06-28 (xsd:date)
http://linked.open...i/cep/druhSouteze	VS - Veřejná soutěž ve výzkumu a vývoji
http://linked.open...ep/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open.../cep/fazeProjektu	91835693
http://linked.open...ai/cep/hlavniObor	JA - Elektronika a optoelektronika, elektrotechnika
http://linked.open...hodnoceniProjektu	V - Vynikající výsledky (s mezinárodním významem apod.). Zároveň byly splněny cíle a předpokládané výsledky uvedené ve smlouvě / rozhodnutí o poskytnutí podpory.
http://linked.open...vai/cep/kategorie	ZV - Základní výzkum
http://linked.open.../cep/klicovaSlova	methods of higher orders of accuracy; partial differential equations, coupled problems; electromagnetism; mechanics of solids, fluid dynamics, heat transfer (en)
http://linked.open...ep/partnetrHlavni	Ústav termomechaniky AV ČR, v.v.i.
http://linked.open...inujicichPrijemcu	1 (xsd:int)
http://linked.open...cep/pocetPrijemcu	2 (xsd:int)
http://linked.open...ocetSpoluPrijemcu	0 (xsd:int)
http://linked.open.../pocetVysledkuRIV	50 (xsd:int)
http://linked.open...enychVysledkuVRIV	50 (xsd:int)
http://linked.open...lneniVMinulemRoce	2011-03-18 (xsd:date)
http://linked.open.../prideleniPodpory	http://linked.opendata.cz/resource/domain/vavai/cep/prideleniPodpory/IAA100760702
http://linked.open...iciPoslednihoRoku	2011
http://linked.open...atUdajeProjZameru	2012
http://linked.open.../vavai/cep/soutez	SAV02007-A
http://linked.open...usZobrazovaneFaze	DUU
http://linked.open...ai/cep/typPojektu	P - Projekt výzkumu a vývoje financovaný ze státního rozpočtu
http://linked.open...ep/ukonceniReseni	2011-12-31 (xsd:date)
http://linked.open.../cep/vedlejsiObor	BA - Obecná matematika BK - Mechanika tekutin
http://linked.open...ep/zahajeniReseni	2007-01-01 (xsd:date)
http://linked.open...jektu+dodavatelem	(1) Nová metoda monolitické diskretizace multifyzikálních sdružených úloh, (2) nová metoda pro časovou integraci transientních problémů, (3) unikátní nové výsledky v oblasti diskrétních principů maxima, (4) úspěšné aplikace na problémy z různých oblastí. (cs) (1) New monolithic method for the discretization of multiphysics problems, (2) new method for high-order time integration of multiphysics problems, (3) unique new results for discrete maximum principles, (4) successful applications. (en)
http://linked.open...tniCyklusProjektu	ZBBBKU
http://linked.open.../cep/klicoveSlovo	coupled problems electromagnetism fluid dynamics mechanics of solids partial differential equations methods of higher orders of accuracy
is http://linked.open...vavai/riv/projekt of	Parallel implementation of Multilevel BDDC Simulation of Continual Induction Heating of Nonferromagnetic Bodies Using Integrodifferential Approach Flow of molten metal in a pipe driven by electromagnetic field Inductively Heated Incompressible Flow of Electrically Conductive Liquid in Pipe Simultaneous Effects of Convection and Thermal Radiation as a Generalized Boundary Condition of Temperature Fields of Bodies in Unbounded Gas Media The Coupled Problems in Power Engineering Applications Solution of 3D Singular Electrostatic Problems Using Adaptive hp-FEM Arbitrary-Level Hanging Nodes and Automatic Adaptivity in the hp-FEM Simultaneous Effects of Convection and Thermal Radiation as a Generalized Boundary Condition of Temperature Fields of Bodies in Unbounded Gaseous Media On Scientific Data and Image Compression Based on Adaptive Higher-Order FEM Monolithic discretization of linear thermoelasticity problems via adaptive multimesh hp-FEM Adaptive hp-FEM with dynamical meshes for transient heat and moisture transfer problems Space and Time Adaptive Two-Mesh hp-Finite Element Method for Transient Microwave Heating Problems Incompressible Flow of Electrically Conductive Medium in Time-Variable Magnetic Field Solved in Monolithic Formulation Application of the parallel BDDC preconditioner to the Stokes flow Fully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problems Monolithic Model of Induction Heating of Thin Conductive Plate with Respecting Thermoelasticity Multi-Mesh hp-FEM for Thermally Conductive Incompressible Flow Solution of 3D Singular Electrostatic Problems Using Adaptive hp-FEM Integrodifferential Numerical Model of Nonmagnetic Shielding Effects Comparison of multimesh hp-FEM to interpolation and projection methods for spatial coupling of thermal and neutron diffusion calculations Complementary error bounds for elliptic systems and applications Computing upper bounds on Friedrichs' constant Complementarity based a posteriori error estimates and their properties The discrete maximum principle for Galerkin solutions of elliptic problems Face-based Selection of Corners in 3D Substructuring Nonlinear Coupled Problems Solved by hp-FEM Hard-Coupled Model of Induction Heating of Cylindrical Nonmagnetic Billets Rotating in System of Permanent Magnets Numerical Model of Induction Shrink Fits in Monolithic Formulation Aposteriorní odhady chyby v metodě konečných prvků On Efficient Solution of Linear Systems Arising in hp-FEM Deterministic and Stochastic Models of Dynamics of Chemical Systems Static condensation, partial orthogonalization of basis functions, and ILU preconditioning in the hp-FEM Higher-order finite elements based on generalized eigenfunctions of the Laplacian Analysis of stochastic chemical system close to a SNIPER bifurcation of its mean-field model Discrete Maximum Principle for Poisson Equation with Mixed Boundary Conditions Solved by hp-FEM Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes On Weakening Conditions for Discrete Maximum Principles for Linear Finite Element Schemes Discrete maximum principle for prismatic finite elements A new mechanism for maintaining diversity of Pareto archive in multi-objective optimization A comparison of simplicial and block finite elements Angle conditions for discrete maximum principles in higher-order FEM Higher-order discrete maximum principle for 1D diffusion-reaction problems Discrete maximum principle for parabolic problems solved by prismatic finite elements Complementarity - the way towards guaranteed error estimates Integration in higher-order finite element method in 3D Computer Modeling and Optimization of DC Actuators with a System of Permanent Magnets Integral Solution of Linear Eddy Current Problems with Motion Adaptive higher-order finite element methods for transient PDE problems based on embedded higher-order implicit Runge-Kutta methods Three anisotropic benchmark problems for adaptive finite element methods
is http://linked.open...vavai/cep/projekt of	http://linked.opendata.cz/resource/domain/vavai/cep/ucast/IAA100760702/2007/ico%3A61388998 http://linked.opendata.cz/resource/domain/vavai/cep/ucast/IAA100760702/2007/ico%3A67985840 http://linked.opendata.cz/resource/domain/vavai/cep/ucast/IAA100760702/2008/ico%3A61388998 http://linked.opendata.cz/resource/domain/vavai/cep/ucast/IAA100760702/2008/ico%3A67985840 http://linked.opendata.cz/resource/domain/vavai/cep/ucast/IAA100760702/2009/ico%3A61388998 http://linked.opendata.cz/resource/domain/vavai/cep/ucast/IAA100760702/2009/ico%3A67985840

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