Live briefing
Everything about Mortar methods
In numerical analysis, mortar methods are discretization methods for partial differential equations, which use separate finite element discretization on nonoverlapping subdomains. The meshes on the subdomains do not match on the interface, and the equality of the solution is enforced by Lagrange multipliers, judiciously chosen to preserve the accuracy of the solution. Mortar discretizations lend themselves naturally to the solution by iterative domain decomposition methods such as FETI and balancing domain decomposition In the engineering practice in the finite element method, continuity of solutions between non-matching subdomains is implemented by multiple-point constraints. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Mortar methodsA 5-minute orientation
- Skim a recent paper: Comparison between methods for indirect assessment of buildability in fresh 3D printed mortar and concreteInfluential work since 2022
- Pick up a classic book: The Development of Artillery Tactics and Equipment (Official History of the Second World War Army)The most-reprinted book on the subject
- Read the landmark paper: Test methods for Textile Reinforced Mortar systemsCited 217 times
- Go sideways: Balancing domain decomposition methodA closely related topic
- Go sideways: BDDCA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
No outline available.
🏆 Landmark papers (most cited)
Test methods for Textile Reinforced Mortar systems
Two dimensional mortar contact methods for large deformation frictional sliding
Isogeometric mortar methods
Dual Quadratic Mortar Finite Element Methods for 3D Finite Deformation Contact
Isogeometric dual mortar methods for computational contact mechanics
Iterative Substructuring Preconditioners for Mortar Element Methods in Two Dimensions
Mortar multiscale finite element methods for Stokes–Darcy flows
Traditional methods of mortar preparation: The hot lime mix method
🆕 Influential since 2022
Comparison between methods for indirect assessment of buildability in fresh 3D printed mortar and concrete
Statistical Methods for Modeling the Compressive Strength of Geopolymer Mortar
Testing and modeling methods to experiment the flexural performance of cement mortar modified with eggshell powder
Investigating the Mechanical Properties and Durability of Metakaolin-Incorporated Mortar by Different Curing Methods
Mortar contact discretisation methods incorporating interface models based on Hypoplasticity and Sanisand: Application to vibratory pile driving
đź“š Books worth reading
The Development of Artillery Tactics and Equipment (Official History of the Second World War Army)Brigadier A. L. Pemberton · 2022
The Development of Artillery Tactics and Equipment-Map Volume (Official History of the Second World War Army)Brigadier A. L. Pemberton · 2022
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
- Balancing domain decomposition method In numerical analysis, the balancing domain decomposition method (BDD) is an iterative method to find the solution of a symmetric positive definite system…
- BDDC In numerical analysis, BDDC (balancing domain decomposition by constraints) is a domain decomposition method for solving large symmetric, positive definite…
- FETI-DP The FETI-DP method is a domain decomposition method that enforces equality of the solution at subdomain interfaces by Lagrange multipliers except at subdomain…
- FETI In mathematics, in particular numerical analysis, the FETI method (finite element tearing and interconnect) is an iterative substructuring method for solving…
- Neumann–Neumann methods In mathematics, Neumann–Neumann methods are domain decomposition preconditioners named so because they solve a Neumann problem on each subdomain on both…
- Numerical methods for partial differential equations Numerical methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations…
- Domain decomposition methods In mathematics, numerical analysis, and numerical partial differential equations, domain decomposition methods solve a boundary value problem by splitting…
- List of numerical analysis topics This is a list of numerical analysis topics. Validated numerics Iterative method Rate of convergence — the speed at which a convergent sequence approaches…